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Finding the Fourth Proportional to 814.48, 1,123.56 and 516.10

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Solution

The fourth proportional to 814.48, 1,123.56 and 516.10 is: 711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.48 : 1,123.56 = 516.10 : x
  2. Step 2: Convert to fraction form
    814.48/1,123.56 = 516.10/x
  3. Step 3: Cross multiply
    814.48x = 1,123.56 × 516.10
  4. Step 4: Simplify right side
    814.48x = 579,869.32
  5. Step 5: Solve for x
    x = 579,869.32/814.48
  6. Step 6: Final answer
    x = 711.95

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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.