
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
The variable $y$ is proportional to the variable $x$. It is required to calculate the values of $y$ corresponding to several given values of $x$ (for example, the values $x = 113$, $1827$, $3723$). This problem, as stated, cannot be solved because there is insufficient data. How many more pieces of data are needed for the problem to be well-defined? What are they?

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