Back in March of this year my FICO score was around 680 because of extremely high utilization, I applied for and got approved for a Chase Freedom card with a measly 2k limit but at a good rate. Once I finished with that and closed it out, I applied for and got approved for a Chase Amazon card with a 7k limit with a 722 FICO score, and last week with a FICO score of 739 I applied for and was approved for a Chase card with 0% interest on purchases for 12 months with a 7k limit, which imo, is kind of on the low side as far as credit limits. I had also applied for a Citi Platinum card for the 0% and they only approved me for a 2900 limit

, which I immediately closed out since the limit was so low and then I applied for the Chase and got it. The downside is that those 2 inquiries cost me a whopping 19 points back down to 720

So with all this said, I am guessing from the mid to upper 600s you will be approved, based on my experiences.