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Finding the Fourth Proportional to 962.57, 1,328.28 and 542.94

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Solution

The fourth proportional to 962.57, 1,328.28 and 542.94 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.57 : 1,328.28 = 542.94 : x
  2. Step 2: Convert to fraction form
    962.57/1,328.28 = 542.94/x
  3. Step 3: Cross multiply
    962.57x = 1,328.28 × 542.94
  4. Step 4: Simplify right side
    962.57x = 721,169.70
  5. Step 5: Solve for x
    x = 721,169.70/962.57
  6. Step 6: Final answer
    x = 749.21

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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.