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Finding the Fourth Proportional to 962.17, 1,442.34 and 468.27

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Solution

The fourth proportional to 962.17, 1,442.34 and 468.27 is: 701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.17 : 1,442.34 = 468.27 : x
  2. Step 2: Convert to fraction form
    962.17/1,442.34 = 468.27/x
  3. Step 3: Cross multiply
    962.17x = 1,442.34 × 468.27
  4. Step 4: Simplify right side
    962.17x = 675,404.55
  5. Step 5: Solve for x
    x = 675,404.55/962.17
  6. Step 6: Final answer
    x = 701.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.