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Finding the Fourth Proportional to 791.20, 1,091.28 and 542.32

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Solution

The fourth proportional to 791.20, 1,091.28 and 542.32 is: 748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.20 : 1,091.28 = 542.32 : x
  2. Step 2: Convert to fraction form
    791.20/1,091.28 = 542.32/x
  3. Step 3: Cross multiply
    791.20x = 1,091.28 × 542.32
  4. Step 4: Simplify right side
    791.20x = 591,822.97
  5. Step 5: Solve for x
    x = 591,822.97/791.20
  6. Step 6: Final answer
    x = 748.01

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Why These Related Problems?

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