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Finding the Fourth Proportional to 1,031.81, 1,547.77 and 415.51

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Solution

The fourth proportional to 1,031.81, 1,547.77 and 415.51 is: 623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.81 : 1,547.77 = 415.51 : x
  2. Step 2: Convert to fraction form
    1,031.81/1,547.77 = 415.51/x
  3. Step 3: Cross multiply
    1,031.81x = 1,547.77 × 415.51
  4. Step 4: Simplify right side
    1,031.81x = 643,113.91
  5. Step 5: Solve for x
    x = 643,113.91/1,031.81
  6. Step 6: Final answer
    x = 623.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.