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Finding the Fourth Proportional to 1,286.46, 1,771.20 and 892.80

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Solution

The fourth proportional to 1,286.46, 1,771.20 and 892.80 is: 1,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.46 : 1,771.20 = 892.80 : x
  2. Step 2: Convert to fraction form
    1,286.46/1,771.20 = 892.80/x
  3. Step 3: Cross multiply
    1,286.46x = 1,771.20 × 892.80
  4. Step 4: Simplify right side
    1,286.46x = 1,581,327.36
  5. Step 5: Solve for x
    x = 1,581,327.36/1,286.46
  6. Step 6: Final answer
    x = 1,229.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.