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Finding the Fourth Proportional to 799.52, 1,204.40 and 789.44

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Solution

The fourth proportional to 799.52, 1,204.40 and 789.44 is: 1,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.52 : 1,204.40 = 789.44 : x
  2. Step 2: Convert to fraction form
    799.52/1,204.40 = 789.44/x
  3. Step 3: Cross multiply
    799.52x = 1,204.40 × 789.44
  4. Step 4: Simplify right side
    799.52x = 950,801.54
  5. Step 5: Solve for x
    x = 950,801.54/799.52
  6. Step 6: Final answer
    x = 1,189.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.