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Finding the Fourth Proportional to 844.73, 1,167.12 and 656.43

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Solution

The fourth proportional to 844.73, 1,167.12 and 656.43 is: 906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.73 : 1,167.12 = 656.43 : x
  2. Step 2: Convert to fraction form
    844.73/1,167.12 = 656.43/x
  3. Step 3: Cross multiply
    844.73x = 1,167.12 × 656.43
  4. Step 4: Simplify right side
    844.73x = 766,132.58
  5. Step 5: Solve for x
    x = 766,132.58/844.73
  6. Step 6: Final answer
    x = 906.96

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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.