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Finding the Fourth Proportional to 724.92, 1,002.72 and 669.84

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Solution

The fourth proportional to 724.92, 1,002.72 and 669.84 is: 926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.92 : 1,002.72 = 669.84 : x
  2. Step 2: Convert to fraction form
    724.92/1,002.72 = 669.84/x
  3. Step 3: Cross multiply
    724.92x = 1,002.72 × 669.84
  4. Step 4: Simplify right side
    724.92x = 671,661.96
  5. Step 5: Solve for x
    x = 671,661.96/724.92
  6. Step 6: Final answer
    x = 926.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.