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Finding the Fourth Proportional to 1,377.73, 2,067.41 and 597.57

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Solution

The fourth proportional to 1,377.73, 2,067.41 and 597.57 is: 896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.73 : 2,067.41 = 597.57 : x
  2. Step 2: Convert to fraction form
    1,377.73/2,067.41 = 597.57/x
  3. Step 3: Cross multiply
    1,377.73x = 2,067.41 × 597.57
  4. Step 4: Simplify right side
    1,377.73x = 1,235,422.19
  5. Step 5: Solve for x
    x = 1,235,422.19/1,377.73
  6. Step 6: Final answer
    x = 896.71

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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.