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Finding the Fourth Proportional to 728.32, 1,004.26 and 542.16

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Solution

The fourth proportional to 728.32, 1,004.26 and 542.16 is: 747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.32 : 1,004.26 = 542.16 : x
  2. Step 2: Convert to fraction form
    728.32/1,004.26 = 542.16/x
  3. Step 3: Cross multiply
    728.32x = 1,004.26 × 542.16
  4. Step 4: Simplify right side
    728.32x = 544,469.60
  5. Step 5: Solve for x
    x = 544,469.60/728.32
  6. Step 6: Final answer
    x = 747.57

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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.