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Finding the Fourth Proportional to 778.26, 1,073.41 and 542.22

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Solution

The fourth proportional to 778.26, 1,073.41 and 542.22 is: 747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.26 : 1,073.41 = 542.22 : x
  2. Step 2: Convert to fraction form
    778.26/1,073.41 = 542.22/x
  3. Step 3: Cross multiply
    778.26x = 1,073.41 × 542.22
  4. Step 4: Simplify right side
    778.26x = 582,025.82
  5. Step 5: Solve for x
    x = 582,025.82/778.26
  6. Step 6: Final answer
    x = 747.86

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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.