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Finding the Fourth Proportional to 793.99, 1,189.72 and 423.70

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Solution

The fourth proportional to 793.99, 1,189.72 and 423.70 is: 634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.99 : 1,189.72 = 423.70 : x
  2. Step 2: Convert to fraction form
    793.99/1,189.72 = 423.70/x
  3. Step 3: Cross multiply
    793.99x = 1,189.72 × 423.70
  4. Step 4: Simplify right side
    793.99x = 504,084.36
  5. Step 5: Solve for x
    x = 504,084.36/793.99
  6. Step 6: Final answer
    x = 634.87

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