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Finding the Fourth Proportional to 1,324.58, 1,983.22 and 672.12

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Solution

The fourth proportional to 1,324.58, 1,983.22 and 672.12 is: 1,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.58 : 1,983.22 = 672.12 : x
  2. Step 2: Convert to fraction form
    1,324.58/1,983.22 = 672.12/x
  3. Step 3: Cross multiply
    1,324.58x = 1,983.22 × 672.12
  4. Step 4: Simplify right side
    1,324.58x = 1,332,960.15
  5. Step 5: Solve for x
    x = 1,332,960.15/1,324.58
  6. Step 6: Final answer
    x = 1,006.33

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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.