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Finding the Fourth Proportional to 814.08, 1,123.80 and 519.75

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Solution

The fourth proportional to 814.08, 1,123.80 and 519.75 is: 717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.08 : 1,123.80 = 519.75 : x
  2. Step 2: Convert to fraction form
    814.08/1,123.80 = 519.75/x
  3. Step 3: Cross multiply
    814.08x = 1,123.80 × 519.75
  4. Step 4: Simplify right side
    814.08x = 584,095.05
  5. Step 5: Solve for x
    x = 584,095.05/814.08
  6. Step 6: Final answer
    x = 717.49

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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.