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Finding the Fourth Proportional to 1,378.41, 2,067 and 453.78

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Solution

The fourth proportional to 1,378.41, 2,067 and 453.78 is: 680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.41 : 2,067 = 453.78 : x
  2. Step 2: Convert to fraction form
    1,378.41/2,067 = 453.78/x
  3. Step 3: Cross multiply
    1,378.41x = 2,067 × 453.78
  4. Step 4: Simplify right side
    1,378.41x = 937,963.26
  5. Step 5: Solve for x
    x = 937,963.26/1,378.41
  6. Step 6: Final answer
    x = 680.47

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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.