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Finding the Fourth Proportional to 648.62, 972.61 and 463.42

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Solution

The fourth proportional to 648.62, 972.61 and 463.42 is: 694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.62 : 972.61 = 463.42 : x
  2. Step 2: Convert to fraction form
    648.62/972.61 = 463.42/x
  3. Step 3: Cross multiply
    648.62x = 972.61 × 463.42
  4. Step 4: Simplify right side
    648.62x = 450,726.98
  5. Step 5: Solve for x
    x = 450,726.98/648.62
  6. Step 6: Final answer
    x = 694.90

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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.