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Finding the Fourth Proportional to 1,227.27, 1,841.40 and 447.33

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Solution

The fourth proportional to 1,227.27, 1,841.40 and 447.33 is: 671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.27 : 1,841.40 = 447.33 : x
  2. Step 2: Convert to fraction form
    1,227.27/1,841.40 = 447.33/x
  3. Step 3: Cross multiply
    1,227.27x = 1,841.40 × 447.33
  4. Step 4: Simplify right side
    1,227.27x = 823,708.75
  5. Step 5: Solve for x
    x = 823,708.75/1,227.27
  6. Step 6: Final answer
    x = 671.17

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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.