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Finding the Fourth Proportional to 962.40, 1,328.03 and 542.75

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Solution

The fourth proportional to 962.40, 1,328.03 and 542.75 is: 748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.40 : 1,328.03 = 542.75 : x
  2. Step 2: Convert to fraction form
    962.40/1,328.03 = 542.75/x
  3. Step 3: Cross multiply
    962.40x = 1,328.03 × 542.75
  4. Step 4: Simplify right side
    962.40x = 720,778.93
  5. Step 5: Solve for x
    x = 720,778.93/962.40
  6. Step 6: Final answer
    x = 748.94

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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.