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Finding the Fourth Proportional to 814.13, 1,123.42 and 499.25

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Solution

The fourth proportional to 814.13, 1,123.42 and 499.25 is: 688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.13 : 1,123.42 = 499.25 : x
  2. Step 2: Convert to fraction form
    814.13/1,123.42 = 499.25/x
  3. Step 3: Cross multiply
    814.13x = 1,123.42 × 499.25
  4. Step 4: Simplify right side
    814.13x = 560,867.44
  5. Step 5: Solve for x
    x = 560,867.44/814.13
  6. Step 6: Final answer
    x = 688.92

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