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Finding the Fourth Proportional to 844.73, 1,166.63 and 811.92

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Solution

The fourth proportional to 844.73, 1,166.63 and 811.92 is: 1,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.73 : 1,166.63 = 811.92 : x
  2. Step 2: Convert to fraction form
    844.73/1,166.63 = 811.92/x
  3. Step 3: Cross multiply
    844.73x = 1,166.63 × 811.92
  4. Step 4: Simplify right side
    844.73x = 947,212.83
  5. Step 5: Solve for x
    x = 947,212.83/844.73
  6. Step 6: Final answer
    x = 1,121.32

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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.