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Finding the Fourth Proportional to 724.13, 1,086.95 and 519.09

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Solution

The fourth proportional to 724.13, 1,086.95 and 519.09 is: 779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.13 : 1,086.95 = 519.09 : x
  2. Step 2: Convert to fraction form
    724.13/1,086.95 = 519.09/x
  3. Step 3: Cross multiply
    724.13x = 1,086.95 × 519.09
  4. Step 4: Simplify right side
    724.13x = 564,222.28
  5. Step 5: Solve for x
    x = 564,222.28/724.13
  6. Step 6: Final answer
    x = 779.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.