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Finding the Fourth Proportional to 814.60, 1,124.13 and 519.94

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Solution

The fourth proportional to 814.60, 1,124.13 and 519.94 is: 717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.60 : 1,124.13 = 519.94 : x
  2. Step 2: Convert to fraction form
    814.60/1,124.13 = 519.94/x
  3. Step 3: Cross multiply
    814.60x = 1,124.13 × 519.94
  4. Step 4: Simplify right side
    814.60x = 584,480.15
  5. Step 5: Solve for x
    x = 584,480.15/814.60
  6. Step 6: Final answer
    x = 717.51

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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.