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Finding the Fourth Proportional to 814.14, 1,123.47 and 460.04

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Solution

The fourth proportional to 814.14, 1,123.47 and 460.04 is: 634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.14 : 1,123.47 = 460.04 : x
  2. Step 2: Convert to fraction form
    814.14/1,123.47 = 460.04/x
  3. Step 3: Cross multiply
    814.14x = 1,123.47 × 460.04
  4. Step 4: Simplify right side
    814.14x = 516,841.14
  5. Step 5: Solve for x
    x = 516,841.14/814.14
  6. Step 6: Final answer
    x = 634.83

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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.