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Finding the Fourth Proportional to 844.43, 1,162.77 and 678.92

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Solution

The fourth proportional to 844.43, 1,162.77 and 678.92 is: 934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.43 : 1,162.77 = 678.92 : x
  2. Step 2: Convert to fraction form
    844.43/1,162.77 = 678.92/x
  3. Step 3: Cross multiply
    844.43x = 1,162.77 × 678.92
  4. Step 4: Simplify right side
    844.43x = 789,427.81
  5. Step 5: Solve for x
    x = 789,427.81/844.43
  6. Step 6: Final answer
    x = 934.86

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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.