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Finding the Fourth Proportional to 724.70, 1,084.59 and 509.22

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Solution

The fourth proportional to 724.70, 1,084.59 and 509.22 is: 762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.70 : 1,084.59 = 509.22 : x
  2. Step 2: Convert to fraction form
    724.70/1,084.59 = 509.22/x
  3. Step 3: Cross multiply
    724.70x = 1,084.59 × 509.22
  4. Step 4: Simplify right side
    724.70x = 552,294.92
  5. Step 5: Solve for x
    x = 552,294.92/724.70
  6. Step 6: Final answer
    x = 762.10

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