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Finding the Fourth Proportional to 1,378.33, 2,067.61 and 391.13

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Solution

The fourth proportional to 1,378.33, 2,067.61 and 391.13 is: 586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.33 : 2,067.61 = 391.13 : x
  2. Step 2: Convert to fraction form
    1,378.33/2,067.61 = 391.13/x
  3. Step 3: Cross multiply
    1,378.33x = 2,067.61 × 391.13
  4. Step 4: Simplify right side
    1,378.33x = 808,713.10
  5. Step 5: Solve for x
    x = 808,713.10/1,378.33
  6. Step 6: Final answer
    x = 586.73

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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.