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Finding the Fourth Proportional to 1,375.39, 2,059.43 and 724.76

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Solution

The fourth proportional to 1,375.39, 2,059.43 and 724.76 is: 1,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.39 : 2,059.43 = 724.76 : x
  2. Step 2: Convert to fraction form
    1,375.39/2,059.43 = 724.76/x
  3. Step 3: Cross multiply
    1,375.39x = 2,059.43 × 724.76
  4. Step 4: Simplify right side
    1,375.39x = 1,492,578.57
  5. Step 5: Solve for x
    x = 1,492,578.57/1,375.39
  6. Step 6: Final answer
    x = 1,085.21

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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.