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Finding the Fourth Proportional to 1,039.11, 1,559.21 and 423.27

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Solution

The fourth proportional to 1,039.11, 1,559.21 and 423.27 is: 635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.11 : 1,559.21 = 423.27 : x
  2. Step 2: Convert to fraction form
    1,039.11/1,559.21 = 423.27/x
  3. Step 3: Cross multiply
    1,039.11x = 1,559.21 × 423.27
  4. Step 4: Simplify right side
    1,039.11x = 659,964.70
  5. Step 5: Solve for x
    x = 659,964.70/1,039.11
  6. Step 6: Final answer
    x = 635.12

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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.