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Finding the Fourth Proportional to 709.13, 1,062.32 and 546.02

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Solution

The fourth proportional to 709.13, 1,062.32 and 546.02 is: 817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.13 : 1,062.32 = 546.02 : x
  2. Step 2: Convert to fraction form
    709.13/1,062.32 = 546.02/x
  3. Step 3: Cross multiply
    709.13x = 1,062.32 × 546.02
  4. Step 4: Simplify right side
    709.13x = 580,047.97
  5. Step 5: Solve for x
    x = 580,047.97/709.13
  6. Step 6: Final answer
    x = 817.97

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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.