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Finding the Fourth Proportional to 814.62, 1,123.80 and 519.78

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Solution

The fourth proportional to 814.62, 1,123.80 and 519.78 is: 717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.62 : 1,123.80 = 519.78 : x
  2. Step 2: Convert to fraction form
    814.62/1,123.80 = 519.78/x
  3. Step 3: Cross multiply
    814.62x = 1,123.80 × 519.78
  4. Step 4: Simplify right side
    814.62x = 584,128.76
  5. Step 5: Solve for x
    x = 584,128.76/814.62
  6. Step 6: Final answer
    x = 717.06

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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.