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Finding the Fourth Proportional to 844.16, 1,259.86 and 789.44

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Solution

The fourth proportional to 844.16, 1,259.86 and 789.44 is: 1,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.16 : 1,259.86 = 789.44 : x
  2. Step 2: Convert to fraction form
    844.16/1,259.86 = 789.44/x
  3. Step 3: Cross multiply
    844.16x = 1,259.86 × 789.44
  4. Step 4: Simplify right side
    844.16x = 994,583.88
  5. Step 5: Solve for x
    x = 994,583.88/844.16
  6. Step 6: Final answer
    x = 1,178.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.