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Finding the Fourth Proportional to 1,238.30, 1,708.68 and 796.81

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Solution

The fourth proportional to 1,238.30, 1,708.68 and 796.81 is: 1,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.30 : 1,708.68 = 796.81 : x
  2. Step 2: Convert to fraction form
    1,238.30/1,708.68 = 796.81/x
  3. Step 3: Cross multiply
    1,238.30x = 1,708.68 × 796.81
  4. Step 4: Simplify right side
    1,238.30x = 1,361,484.77
  5. Step 5: Solve for x
    x = 1,361,484.77/1,238.30
  6. Step 6: Final answer
    x = 1,099.48

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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.