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Finding the Fourth Proportional to 814.27, 1,123.82 and 465.07

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Solution

The fourth proportional to 814.27, 1,123.82 and 465.07 is: 641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.27 : 1,123.82 = 465.07 : x
  2. Step 2: Convert to fraction form
    814.27/1,123.82 = 465.07/x
  3. Step 3: Cross multiply
    814.27x = 1,123.82 × 465.07
  4. Step 4: Simplify right side
    814.27x = 522,654.97
  5. Step 5: Solve for x
    x = 522,654.97/814.27
  6. Step 6: Final answer
    x = 641.87

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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.