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Finding the Fourth Proportional to 1,327.49, 1,991.10 and 669.11

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Solution

The fourth proportional to 1,327.49, 1,991.10 and 669.11 is: 1,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.49 : 1,991.10 = 669.11 : x
  2. Step 2: Convert to fraction form
    1,327.49/1,991.10 = 669.11/x
  3. Step 3: Cross multiply
    1,327.49x = 1,991.10 × 669.11
  4. Step 4: Simplify right side
    1,327.49x = 1,332,254.97
  5. Step 5: Solve for x
    x = 1,332,254.97/1,327.49
  6. Step 6: Final answer
    x = 1,003.59

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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.