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Finding the Fourth Proportional to 1,375.72, 2,063.81 and 682.43

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Solution

The fourth proportional to 1,375.72, 2,063.81 and 682.43 is: 1,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.72 : 2,063.81 = 682.43 : x
  2. Step 2: Convert to fraction form
    1,375.72/2,063.81 = 682.43/x
  3. Step 3: Cross multiply
    1,375.72x = 2,063.81 × 682.43
  4. Step 4: Simplify right side
    1,375.72x = 1,408,397.25
  5. Step 5: Solve for x
    x = 1,408,397.25/1,375.72
  6. Step 6: Final answer
    x = 1,023.75

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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.