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Finding the Fourth Proportional to 1,027.11, 1,540.91 and 333.85

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Solution

The fourth proportional to 1,027.11, 1,540.91 and 333.85 is: 500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.11 : 1,540.91 = 333.85 : x
  2. Step 2: Convert to fraction form
    1,027.11/1,540.91 = 333.85/x
  3. Step 3: Cross multiply
    1,027.11x = 1,540.91 × 333.85
  4. Step 4: Simplify right side
    1,027.11x = 514,429.79
  5. Step 5: Solve for x
    x = 514,429.79/1,027.11
  6. Step 6: Final answer
    x = 500.85

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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.