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Finding the Fourth Proportional to 829.80, 1,244.70 and 789.30

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Solution

The fourth proportional to 829.80, 1,244.70 and 789.30 is: 1,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.80 : 1,244.70 = 789.30 : x
  2. Step 2: Convert to fraction form
    829.80/1,244.70 = 789.30/x
  3. Step 3: Cross multiply
    829.80x = 1,244.70 × 789.30
  4. Step 4: Simplify right side
    829.80x = 982,441.71
  5. Step 5: Solve for x
    x = 982,441.71/829.80
  6. Step 6: Final answer
    x = 1,183.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.