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Finding the Fourth Proportional to 1,376.09, 2,062.31 and 749.78

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Solution

The fourth proportional to 1,376.09, 2,062.31 and 749.78 is: 1,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.09 : 2,062.31 = 749.78 : x
  2. Step 2: Convert to fraction form
    1,376.09/2,062.31 = 749.78/x
  3. Step 3: Cross multiply
    1,376.09x = 2,062.31 × 749.78
  4. Step 4: Simplify right side
    1,376.09x = 1,546,290.00
  5. Step 5: Solve for x
    x = 1,546,290.00/1,376.09
  6. Step 6: Final answer
    x = 1,123.68

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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.