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Finding the Fourth Proportional to 1,375.09, 2,062.94 and 682.13

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Solution

The fourth proportional to 1,375.09, 2,062.94 and 682.13 is: 1,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.09 : 2,062.94 = 682.13 : x
  2. Step 2: Convert to fraction form
    1,375.09/2,062.94 = 682.13/x
  3. Step 3: Cross multiply
    1,375.09x = 2,062.94 × 682.13
  4. Step 4: Simplify right side
    1,375.09x = 1,407,195.01
  5. Step 5: Solve for x
    x = 1,407,195.01/1,375.09
  6. Step 6: Final answer
    x = 1,023.35

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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.