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Finding the Fourth Proportional to 1,031.72, 1,547.10 and 414.90

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Solution

The fourth proportional to 1,031.72, 1,547.10 and 414.90 is: 622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.72 : 1,547.10 = 414.90 : x
  2. Step 2: Convert to fraction form
    1,031.72/1,547.10 = 414.90/x
  3. Step 3: Cross multiply
    1,031.72x = 1,547.10 × 414.90
  4. Step 4: Simplify right side
    1,031.72x = 641,891.79
  5. Step 5: Solve for x
    x = 641,891.79/1,031.72
  6. Step 6: Final answer
    x = 622.16

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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.