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Finding the Fourth Proportional to 1,238.50, 1,708.82 and 796.99

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Solution

The fourth proportional to 1,238.50, 1,708.82 and 796.99 is: 1,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.50 : 1,708.82 = 796.99 : x
  2. Step 2: Convert to fraction form
    1,238.50/1,708.82 = 796.99/x
  3. Step 3: Cross multiply
    1,238.50x = 1,708.82 × 796.99
  4. Step 4: Simplify right side
    1,238.50x = 1,361,905.90
  5. Step 5: Solve for x
    x = 1,361,905.90/1,238.50
  6. Step 6: Final answer
    x = 1,099.64

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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.