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Finding the Fourth Proportional to 1,024.80, 1,414.17 and 631.68

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Solution

The fourth proportional to 1,024.80, 1,414.17 and 631.68 is: 871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.80 : 1,414.17 = 631.68 : x
  2. Step 2: Convert to fraction form
    1,024.80/1,414.17 = 631.68/x
  3. Step 3: Cross multiply
    1,024.80x = 1,414.17 × 631.68
  4. Step 4: Simplify right side
    1,024.80x = 893,302.91
  5. Step 5: Solve for x
    x = 893,302.91/1,024.80
  6. Step 6: Final answer
    x = 871.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.