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Finding the Fourth Proportional to 724.75, 1,087.12 and 509.29

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Solution

The fourth proportional to 724.75, 1,087.12 and 509.29 is: 763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.75 : 1,087.12 = 509.29 : x
  2. Step 2: Convert to fraction form
    724.75/1,087.12 = 509.29/x
  3. Step 3: Cross multiply
    724.75x = 1,087.12 × 509.29
  4. Step 4: Simplify right side
    724.75x = 553,657.26
  5. Step 5: Solve for x
    x = 553,657.26/724.75
  6. Step 6: Final answer
    x = 763.93

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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.