Maximum PC

Hello I am rather new to this as I have usually just asked my friends for opinions but for once I will reach out to the internet as well. I am really considering finally upgrading my Radeon 5770. It has given me some good times these past few years but I feel as it is time to finally upgrade. I was thinking of the Radeon 6000 series maybe a 6770 but I wanted to make sure it would work in my build with out having to upgrade anything else. As of right now this is what I am running.


Case CoolerMaster HAF 922 Gaming Case - Black
Processor [= Quad Core =] AMD Athlon™ II X4 640 Quad-Core CPU
Processor Cooling Liquid CPU Cooling System [AMD] - [Free Upgrade] Standard 120mm Fan Memory 4 GB [2 GB X2] DDR3-1600 Memory Module - Corsair or Major Brand
Video Card ATI Radeon HD 5770 - 1GB - Single Card
Motherboard ASUS M4A77T/USB3 -- AMD 770 Chipset
Motherboard USB / SATA Interface Motherboard default USB / SATA Interface
Power Supply 700 Watt -- Standard
Primary Hard Drive 1 TB HARD DRIVE -- 16M Cache, 7200 RPM, 3.0Gb/s - Single Drive ** FREE Upgrade to 1TB SATA-III 64M Cache Single Drive **
Optical Drive 24X Dual Format/Double Layer DVD±R/±RW + CD-R/RW Drive - Black
Sound Card 3D Premium Surround Sound Onboard
Network Card Onboard LAN Network (Gb or 10/100)
Operating System Microsoft Windows 7 Home Premium + Office Starter 2010 (Includes basic versions of Word and Excel) - 64-Bit


So would it be possible for me to simply swap out my current old reliable Raidon 5770 and upgrade it to say a Raidon 6770 or Raidon 7770?


Also to whom it may concern I am upgrading to make playing Battlefield 3 much more enjoyable.