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Finding the Fourth Proportional to 1,327.40, 1,991.07 and 449.71

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Solution

The fourth proportional to 1,327.40, 1,991.07 and 449.71 is: 674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.40 : 1,991.07 = 449.71 : x
  2. Step 2: Convert to fraction form
    1,327.40/1,991.07 = 449.71/x
  3. Step 3: Cross multiply
    1,327.40x = 1,991.07 × 449.71
  4. Step 4: Simplify right side
    1,327.40x = 895,399.11
  5. Step 5: Solve for x
    x = 895,399.11/1,327.40
  6. Step 6: Final answer
    x = 674.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.