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Finding the Fourth Proportional to 844.94, 1,166.82 and 798.92

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Solution

The fourth proportional to 844.94, 1,166.82 and 798.92 is: 1,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.94 : 1,166.82 = 798.92 : x
  2. Step 2: Convert to fraction form
    844.94/1,166.82 = 798.92/x
  3. Step 3: Cross multiply
    844.94x = 1,166.82 × 798.92
  4. Step 4: Simplify right side
    844.94x = 932,195.76
  5. Step 5: Solve for x
    x = 932,195.76/844.94
  6. Step 6: Final answer
    x = 1,103.27

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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.