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Finding the Fourth Proportional to 643.78, 966.58 and 614.41

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Solution

The fourth proportional to 643.78, 966.58 and 614.41 is: 922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.78 : 966.58 = 614.41 : x
  2. Step 2: Convert to fraction form
    643.78/966.58 = 614.41/x
  3. Step 3: Cross multiply
    643.78x = 966.58 × 614.41
  4. Step 4: Simplify right side
    643.78x = 593,876.42
  5. Step 5: Solve for x
    x = 593,876.42/643.78
  6. Step 6: Final answer
    x = 922.48

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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.