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Finding the Fourth Proportional to 781.01, 1,172.24 and 546.83

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Solution

The fourth proportional to 781.01, 1,172.24 and 546.83 is: 820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.01 : 1,172.24 = 546.83 : x
  2. Step 2: Convert to fraction form
    781.01/1,172.24 = 546.83/x
  3. Step 3: Cross multiply
    781.01x = 1,172.24 × 546.83
  4. Step 4: Simplify right side
    781.01x = 641,013.27
  5. Step 5: Solve for x
    x = 641,013.27/781.01
  6. Step 6: Final answer
    x = 820.75

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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.