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Finding the Fourth Proportional to 738.43, 1,101.67 and 664.62

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Solution

The fourth proportional to 738.43, 1,101.67 and 664.62 is: 991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.43 : 1,101.67 = 664.62 : x
  2. Step 2: Convert to fraction form
    738.43/1,101.67 = 664.62/x
  3. Step 3: Cross multiply
    738.43x = 1,101.67 × 664.62
  4. Step 4: Simplify right side
    738.43x = 732,191.92
  5. Step 5: Solve for x
    x = 732,191.92/738.43
  6. Step 6: Final answer
    x = 991.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.