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Finding the Fourth Proportional to 642.62, 962.30 and 514.10

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Solution

The fourth proportional to 642.62, 962.30 and 514.10 is: 769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.62 : 962.30 = 514.10 : x
  2. Step 2: Convert to fraction form
    642.62/962.30 = 514.10/x
  3. Step 3: Cross multiply
    642.62x = 962.30 × 514.10
  4. Step 4: Simplify right side
    642.62x = 494,722.12
  5. Step 5: Solve for x
    x = 494,722.12/642.62
  6. Step 6: Final answer
    x = 769.85

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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.