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Finding the Fourth Proportional to 1,268.18, 1,750.29 and 796.49

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Solution

The fourth proportional to 1,268.18, 1,750.29 and 796.49 is: 1,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.18 : 1,750.29 = 796.49 : x
  2. Step 2: Convert to fraction form
    1,268.18/1,750.29 = 796.49/x
  3. Step 3: Cross multiply
    1,268.18x = 1,750.29 × 796.49
  4. Step 4: Simplify right side
    1,268.18x = 1,394,079.73
  5. Step 5: Solve for x
    x = 1,394,079.73/1,268.18
  6. Step 6: Final answer
    x = 1,099.28

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Why These Related Problems?

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