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Finding the Fourth Proportional to 962.37, 1,327.46 and 667.53

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Solution

The fourth proportional to 962.37, 1,327.46 and 667.53 is: 920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.37 : 1,327.46 = 667.53 : x
  2. Step 2: Convert to fraction form
    962.37/1,327.46 = 667.53/x
  3. Step 3: Cross multiply
    962.37x = 1,327.46 × 667.53
  4. Step 4: Simplify right side
    962.37x = 886,116.04
  5. Step 5: Solve for x
    x = 886,116.04/962.37
  6. Step 6: Final answer
    x = 920.76

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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.