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Finding the Fourth Proportional to 1,238.36, 1,704.56 and 1,224.68

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Solution

The fourth proportional to 1,238.36, 1,704.56 and 1,224.68 is: 1,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.36 : 1,704.56 = 1,224.68 : x
  2. Step 2: Convert to fraction form
    1,238.36/1,704.56 = 1,224.68/x
  3. Step 3: Cross multiply
    1,238.36x = 1,704.56 × 1,224.68
  4. Step 4: Simplify right side
    1,238.36x = 2,087,540.54
  5. Step 5: Solve for x
    x = 2,087,540.54/1,238.36
  6. Step 6: Final answer
    x = 1,685.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.