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Finding the Fourth Proportional to 962.47, 1,328.16 and 542.92

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Solution

The fourth proportional to 962.47, 1,328.16 and 542.92 is: 749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.47 : 1,328.16 = 542.92 : x
  2. Step 2: Convert to fraction form
    962.47/1,328.16 = 542.92/x
  3. Step 3: Cross multiply
    962.47x = 1,328.16 × 542.92
  4. Step 4: Simplify right side
    962.47x = 721,084.63
  5. Step 5: Solve for x
    x = 721,084.63/962.47
  6. Step 6: Final answer
    x = 749.20

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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.