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Finding the Fourth Proportional to 666.43, 1,001.09 and 644.56

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Solution

The fourth proportional to 666.43, 1,001.09 and 644.56 is: 968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.43 : 1,001.09 = 644.56 : x
  2. Step 2: Convert to fraction form
    666.43/1,001.09 = 644.56/x
  3. Step 3: Cross multiply
    666.43x = 1,001.09 × 644.56
  4. Step 4: Simplify right side
    666.43x = 645,261.68
  5. Step 5: Solve for x
    x = 645,261.68/666.43
  6. Step 6: Final answer
    x = 968.24

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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.