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Finding the Fourth Proportional to 1,194.63, 1,648.62 and 796.97

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Solution

The fourth proportional to 1,194.63, 1,648.62 and 796.97 is: 1,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.63 : 1,648.62 = 796.97 : x
  2. Step 2: Convert to fraction form
    1,194.63/1,648.62 = 796.97/x
  3. Step 3: Cross multiply
    1,194.63x = 1,648.62 × 796.97
  4. Step 4: Simplify right side
    1,194.63x = 1,313,892.44
  5. Step 5: Solve for x
    x = 1,313,892.44/1,194.63
  6. Step 6: Final answer
    x = 1,099.83

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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.