Unfortunately, the progress will continue to decrease with each death. The only way to increase it is if you have more kills than deaths.
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But I got to 3/25 with all lower than 1 kill/death ratios. I assumed that these were adding up (like .5 + .5 + .45 etc) and that was how I got to 3. That was last night. Than a few minutes ago I had like a .75 and the progress went back to 0. It seems very inconsistent.