In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

Example Input: [225.005, 77.471, -47.328, -83.734, -80.38, 79.714, 89.987]
Example Output: [ 0.863  0.297 -0.182 -0.321 -0.308  0.306  0.345]

Example Input: [-40.471, -21.276, 213.299, 177.089, 141.933, -96.589, 103.252, 92.793]
Example Output: [-0.071 -0.037  0.374  0.311  0.249 -0.169  0.181  0.163]

Example Input: [67.801, -32.816, 114.008, 244.379, 226.386, -56.373, 146.55, 69.44, 190.792, -71.713]
Example Output:
[ 0.075 -0.037  0.127  0.272  0.252 -0.063  0.163  0.077  0.212 -0.08 ]