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Finding the Fourth Proportional to 962.02, 1,327.89 and 663.42

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Solution

The fourth proportional to 962.02, 1,327.89 and 663.42 is: 915.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.02 : 1,327.89 = 663.42 : x
  2. Step 2: Convert to fraction form
    962.02/1,327.89 = 663.42/x
  3. Step 3: Cross multiply
    962.02x = 1,327.89 × 663.42
  4. Step 4: Simplify right side
    962.02x = 880,948.78
  5. Step 5: Solve for x
    x = 880,948.78/962.02
  6. Step 6: Final answer
    x = 915.73

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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.