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Finding the Fourth Proportional to 1,230.08, 1,844.43 and 408.13

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Solution

The fourth proportional to 1,230.08, 1,844.43 and 408.13 is: 611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.08 : 1,844.43 = 408.13 : x
  2. Step 2: Convert to fraction form
    1,230.08/1,844.43 = 408.13/x
  3. Step 3: Cross multiply
    1,230.08x = 1,844.43 × 408.13
  4. Step 4: Simplify right side
    1,230.08x = 752,767.22
  5. Step 5: Solve for x
    x = 752,767.22/1,230.08
  6. Step 6: Final answer
    x = 611.97

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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.