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Finding the Fourth Proportional to 1,164.73, 1,747.10 and 798.41

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Solution

The fourth proportional to 1,164.73, 1,747.10 and 798.41 is: 1,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.73 : 1,747.10 = 798.41 : x
  2. Step 2: Convert to fraction form
    1,164.73/1,747.10 = 798.41/x
  3. Step 3: Cross multiply
    1,164.73x = 1,747.10 × 798.41
  4. Step 4: Simplify right side
    1,164.73x = 1,394,893.48
  5. Step 5: Solve for x
    x = 1,394,893.48/1,164.73
  6. Step 6: Final answer
    x = 1,197.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.