
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Points $P$, $Q$, $R$, and $S$ lie on a line, in that order. If $PQ = 3$ units, $QR = 7$ units, and the total distance $PS = 17$ units, what is the ratio of $PR$ to $QS$?

Present the answer in LaTex format: \boxed{Your answer}
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