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Finding the Fourth Proportional to 644.80, 966.30 and 614.56

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Solution

The fourth proportional to 644.80, 966.30 and 614.56 is: 920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.80 : 966.30 = 614.56 : x
  2. Step 2: Convert to fraction form
    644.80/966.30 = 614.56/x
  3. Step 3: Cross multiply
    644.80x = 966.30 × 614.56
  4. Step 4: Simplify right side
    644.80x = 593,849.33
  5. Step 5: Solve for x
    x = 593,849.33/644.80
  6. Step 6: Final answer
    x = 920.98

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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.