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Finding the Fourth Proportional to 1,286.43, 1,930.14 and 669.75

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Solution

The fourth proportional to 1,286.43, 1,930.14 and 669.75 is: 1,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.43 : 1,930.14 = 669.75 : x
  2. Step 2: Convert to fraction form
    1,286.43/1,930.14 = 669.75/x
  3. Step 3: Cross multiply
    1,286.43x = 1,930.14 × 669.75
  4. Step 4: Simplify right side
    1,286.43x = 1,292,711.27
  5. Step 5: Solve for x
    x = 1,292,711.27/1,286.43
  6. Step 6: Final answer
    x = 1,004.88

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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.