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Finding the Fourth Proportional to 962.05, 1,327.46 and 542.35

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Solution

The fourth proportional to 962.05, 1,327.46 and 542.35 is: 748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.05 : 1,327.46 = 542.35 : x
  2. Step 2: Convert to fraction form
    962.05/1,327.46 = 542.35/x
  3. Step 3: Cross multiply
    962.05x = 1,327.46 × 542.35
  4. Step 4: Simplify right side
    962.05x = 719,947.93
  5. Step 5: Solve for x
    x = 719,947.93/962.05
  6. Step 6: Final answer
    x = 748.35

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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.