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Finding the Fourth Proportional to 814.29, 1,123.71 and 464.97

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Solution

The fourth proportional to 814.29, 1,123.71 and 464.97 is: 641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.29 : 1,123.71 = 464.97 : x
  2. Step 2: Convert to fraction form
    814.29/1,123.71 = 464.97/x
  3. Step 3: Cross multiply
    814.29x = 1,123.71 × 464.97
  4. Step 4: Simplify right side
    814.29x = 522,491.44
  5. Step 5: Solve for x
    x = 522,491.44/814.29
  6. Step 6: Final answer
    x = 641.65

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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.