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Finding the Fourth Proportional to 791.28, 1,091.52 and 558

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Solution

The fourth proportional to 791.28, 1,091.52 and 558 is: 769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.28 : 1,091.52 = 558 : x
  2. Step 2: Convert to fraction form
    791.28/1,091.52 = 558/x
  3. Step 3: Cross multiply
    791.28x = 1,091.52 × 558
  4. Step 4: Simplify right side
    791.28x = 609,068.16
  5. Step 5: Solve for x
    x = 609,068.16/791.28
  6. Step 6: Final answer
    x = 769.73

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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.