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Finding the Fourth Proportional to 1,218.20, 1,826.88 and 487.56

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Solution

The fourth proportional to 1,218.20, 1,826.88 and 487.56 is: 731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.20 : 1,826.88 = 487.56 : x
  2. Step 2: Convert to fraction form
    1,218.20/1,826.88 = 487.56/x
  3. Step 3: Cross multiply
    1,218.20x = 1,826.88 × 487.56
  4. Step 4: Simplify right side
    1,218.20x = 890,713.61
  5. Step 5: Solve for x
    x = 890,713.61/1,218.20
  6. Step 6: Final answer
    x = 731.17

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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.