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Finding the Fourth Proportional to 814.38, 1,123.50 and 534.92

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Solution

The fourth proportional to 814.38, 1,123.50 and 534.92 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.38 : 1,123.50 = 534.92 : x
  2. Step 2: Convert to fraction form
    814.38/1,123.50 = 534.92/x
  3. Step 3: Cross multiply
    814.38x = 1,123.50 × 534.92
  4. Step 4: Simplify right side
    814.38x = 600,982.62
  5. Step 5: Solve for x
    x = 600,982.62/814.38
  6. Step 6: Final answer
    x = 737.96

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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.