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Finding the Fourth Proportional to 644.76, 966.74 and 425.15

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Solution

The fourth proportional to 644.76, 966.74 and 425.15 is: 637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 966.74 = 425.15 : x
  2. Step 2: Convert to fraction form
    644.76/966.74 = 425.15/x
  3. Step 3: Cross multiply
    644.76x = 966.74 × 425.15
  4. Step 4: Simplify right side
    644.76x = 411,006.18
  5. Step 5: Solve for x
    x = 411,006.18/644.76
  6. Step 6: Final answer
    x = 637.46

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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.