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Finding the Fourth Proportional to 1,378.23, 2,067.60 and 453.83

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Solution

The fourth proportional to 1,378.23, 2,067.60 and 453.83 is: 680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.23 : 2,067.60 = 453.83 : x
  2. Step 2: Convert to fraction form
    1,378.23/2,067.60 = 453.83/x
  3. Step 3: Cross multiply
    1,378.23x = 2,067.60 × 453.83
  4. Step 4: Simplify right side
    1,378.23x = 938,328.57
  5. Step 5: Solve for x
    x = 938,328.57/1,378.23
  6. Step 6: Final answer
    x = 680.82

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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.