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Finding the Fourth Proportional to 1,039.71, 1,560.18 and 423.37

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Solution

The fourth proportional to 1,039.71, 1,560.18 and 423.37 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.71 : 1,560.18 = 423.37 : x
  2. Step 2: Convert to fraction form
    1,039.71/1,560.18 = 423.37/x
  3. Step 3: Cross multiply
    1,039.71x = 1,560.18 × 423.37
  4. Step 4: Simplify right side
    1,039.71x = 660,525.61
  5. Step 5: Solve for x
    x = 660,525.61/1,039.71
  6. Step 6: Final answer
    x = 635.30

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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.