
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
If 3 numbers are inserted between $x$ and $y$ to form an arithmetic sequence with a common difference of $d_1$ ($d_1 \neq 0$), and 4 numbers are inserted between $x$ and $y$ to also form an arithmetic sequence with a common difference of $d_2$ ($d_2 \neq 0$), then the value of $$\frac {d_{1}}{d_{2}}$$ is \_\_\_\_\_\_.

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