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Finding the Fourth Proportional to 1,378.93, 2,067.97 and 729.31

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Solution

The fourth proportional to 1,378.93, 2,067.97 and 729.31 is: 1,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.93 : 2,067.97 = 729.31 : x
  2. Step 2: Convert to fraction form
    1,378.93/2,067.97 = 729.31/x
  3. Step 3: Cross multiply
    1,378.93x = 2,067.97 × 729.31
  4. Step 4: Simplify right side
    1,378.93x = 1,508,191.20
  5. Step 5: Solve for x
    x = 1,508,191.20/1,378.93
  6. Step 6: Final answer
    x = 1,093.74

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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.