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Finding the Fourth Proportional to 1,232.73, 1,849.31 and 411.21

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Solution

The fourth proportional to 1,232.73, 1,849.31 and 411.21 is: 616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.73 : 1,849.31 = 411.21 : x
  2. Step 2: Convert to fraction form
    1,232.73/1,849.31 = 411.21/x
  3. Step 3: Cross multiply
    1,232.73x = 1,849.31 × 411.21
  4. Step 4: Simplify right side
    1,232.73x = 760,452.71
  5. Step 5: Solve for x
    x = 760,452.71/1,232.73
  6. Step 6: Final answer
    x = 616.89

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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.