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Finding the Fourth Proportional to 844.01, 1,165.78 and 667.23

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Solution

The fourth proportional to 844.01, 1,165.78 and 667.23 is: 921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.01 : 1,165.78 = 667.23 : x
  2. Step 2: Convert to fraction form
    844.01/1,165.78 = 667.23/x
  3. Step 3: Cross multiply
    844.01x = 1,165.78 × 667.23
  4. Step 4: Simplify right side
    844.01x = 777,843.39
  5. Step 5: Solve for x
    x = 777,843.39/844.01
  6. Step 6: Final answer
    x = 921.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.