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Finding the Fourth Proportional to 1,378.41, 2,067.63 and 453.96

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Solution

The fourth proportional to 1,378.41, 2,067.63 and 453.96 is: 680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.41 : 2,067.63 = 453.96 : x
  2. Step 2: Convert to fraction form
    1,378.41/2,067.63 = 453.96/x
  3. Step 3: Cross multiply
    1,378.41x = 2,067.63 × 453.96
  4. Step 4: Simplify right side
    1,378.41x = 938,619.61
  5. Step 5: Solve for x
    x = 938,619.61/1,378.41
  6. Step 6: Final answer
    x = 680.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.