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Finding the Fourth Proportional to 962.26, 1,327.95 and 542.63

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Solution

The fourth proportional to 962.26, 1,327.95 and 542.63 is: 748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.26 : 1,327.95 = 542.63 : x
  2. Step 2: Convert to fraction form
    962.26/1,327.95 = 542.63/x
  3. Step 3: Cross multiply
    962.26x = 1,327.95 × 542.63
  4. Step 4: Simplify right side
    962.26x = 720,588.83
  5. Step 5: Solve for x
    x = 720,588.83/962.26
  6. Step 6: Final answer
    x = 748.85

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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.