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Finding the Fourth Proportional to 1,378.31, 2,067.80 and 453.81

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Solution

The fourth proportional to 1,378.31, 2,067.80 and 453.81 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.31 : 2,067.80 = 453.81 : x
  2. Step 2: Convert to fraction form
    1,378.31/2,067.80 = 453.81/x
  3. Step 3: Cross multiply
    1,378.31x = 2,067.80 × 453.81
  4. Step 4: Simplify right side
    1,378.31x = 938,386.05
  5. Step 5: Solve for x
    x = 938,386.05/1,378.31
  6. Step 6: Final answer
    x = 680.83

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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.