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Finding the Fourth Proportional to 1,378.42, 2,067.64 and 453.96

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Solution

The fourth proportional to 1,378.42, 2,067.64 and 453.96 is: 680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.42 : 2,067.64 = 453.96 : x
  2. Step 2: Convert to fraction form
    1,378.42/2,067.64 = 453.96/x
  3. Step 3: Cross multiply
    1,378.42x = 2,067.64 × 453.96
  4. Step 4: Simplify right side
    1,378.42x = 938,624.72
  5. Step 5: Solve for x
    x = 938,624.72/1,378.42
  6. Step 6: Final answer
    x = 680.94

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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.