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Finding the Fourth Proportional to 844.29, 1,161.72 and 822.83

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Solution

The fourth proportional to 844.29, 1,161.72 and 822.83 is: 1,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.29 : 1,161.72 = 822.83 : x
  2. Step 2: Convert to fraction form
    844.29/1,161.72 = 822.83/x
  3. Step 3: Cross multiply
    844.29x = 1,161.72 × 822.83
  4. Step 4: Simplify right side
    844.29x = 955,892.26
  5. Step 5: Solve for x
    x = 955,892.26/844.29
  6. Step 6: Final answer
    x = 1,132.18

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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.