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Finding the Fourth Proportional to 1,230.73, 1,846.13 and 408.97

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Solution

The fourth proportional to 1,230.73, 1,846.13 and 408.97 is: 613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.73 : 1,846.13 = 408.97 : x
  2. Step 2: Convert to fraction form
    1,230.73/1,846.13 = 408.97/x
  3. Step 3: Cross multiply
    1,230.73x = 1,846.13 × 408.97
  4. Step 4: Simplify right side
    1,230.73x = 755,012.05
  5. Step 5: Solve for x
    x = 755,012.05/1,230.73
  6. Step 6: Final answer
    x = 613.47

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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.