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Finding the Fourth Proportional to 962.39, 1,328.09 and 542.74

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Solution

The fourth proportional to 962.39, 1,328.09 and 542.74 is: 748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.39 : 1,328.09 = 542.74 : x
  2. Step 2: Convert to fraction form
    962.39/1,328.09 = 542.74/x
  3. Step 3: Cross multiply
    962.39x = 1,328.09 × 542.74
  4. Step 4: Simplify right side
    962.39x = 720,807.57
  5. Step 5: Solve for x
    x = 720,807.57/962.39
  6. Step 6: Final answer
    x = 748.98

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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.