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Finding the Fourth Proportional to 789.39, 1,183.80 and 356.25

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Solution

The fourth proportional to 789.39, 1,183.80 and 356.25 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.39 : 1,183.80 = 356.25 : x
  2. Step 2: Convert to fraction form
    789.39/1,183.80 = 356.25/x
  3. Step 3: Cross multiply
    789.39x = 1,183.80 × 356.25
  4. Step 4: Simplify right side
    789.39x = 421,728.75
  5. Step 5: Solve for x
    x = 421,728.75/789.39
  6. Step 6: Final answer
    x = 534.25

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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.