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Finding the Fourth Proportional to 781.20, 1,078.05 and 519.27

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Solution

The fourth proportional to 781.20, 1,078.05 and 519.27 is: 716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.20 : 1,078.05 = 519.27 : x
  2. Step 2: Convert to fraction form
    781.20/1,078.05 = 519.27/x
  3. Step 3: Cross multiply
    781.20x = 1,078.05 × 519.27
  4. Step 4: Simplify right side
    781.20x = 559,799.02
  5. Step 5: Solve for x
    x = 559,799.02/781.20
  6. Step 6: Final answer
    x = 716.59

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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.