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Finding the Fourth Proportional to 962.62, 1,327.80 and 667.78

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Solution

The fourth proportional to 962.62, 1,327.80 and 667.78 is: 921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.62 : 1,327.80 = 667.78 : x
  2. Step 2: Convert to fraction form
    962.62/1,327.80 = 667.78/x
  3. Step 3: Cross multiply
    962.62x = 1,327.80 × 667.78
  4. Step 4: Simplify right side
    962.62x = 886,678.28
  5. Step 5: Solve for x
    x = 886,678.28/962.62
  6. Step 6: Final answer
    x = 921.11

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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.