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Finding the Fourth Proportional to 789.78, 1,183.05 and 698.70

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Solution

The fourth proportional to 789.78, 1,183.05 and 698.70 is: 1,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.78 : 1,183.05 = 698.70 : x
  2. Step 2: Convert to fraction form
    789.78/1,183.05 = 698.70/x
  3. Step 3: Cross multiply
    789.78x = 1,183.05 × 698.70
  4. Step 4: Simplify right side
    789.78x = 826,597.04
  5. Step 5: Solve for x
    x = 826,597.04/789.78
  6. Step 6: Final answer
    x = 1,046.62

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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.