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Finding the Fourth Proportional to 984.72, 1,358.86 and 542.61

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Solution

The fourth proportional to 984.72, 1,358.86 and 542.61 is: 748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.72 : 1,358.86 = 542.61 : x
  2. Step 2: Convert to fraction form
    984.72/1,358.86 = 542.61/x
  3. Step 3: Cross multiply
    984.72x = 1,358.86 × 542.61
  4. Step 4: Simplify right side
    984.72x = 737,334.89
  5. Step 5: Solve for x
    x = 737,334.89/984.72
  6. Step 6: Final answer
    x = 748.78

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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.