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Finding the Fourth Proportional to 1,489.40, 2,231.19 and 708.29

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Solution

The fourth proportional to 1,489.40, 2,231.19 and 708.29 is: 1,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.40 : 2,231.19 = 708.29 : x
  2. Step 2: Convert to fraction form
    1,489.40/2,231.19 = 708.29/x
  3. Step 3: Cross multiply
    1,489.40x = 2,231.19 × 708.29
  4. Step 4: Simplify right side
    1,489.40x = 1,580,329.57
  5. Step 5: Solve for x
    x = 1,580,329.57/1,489.40
  6. Step 6: Final answer
    x = 1,061.05

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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.