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Finding the Fourth Proportional to 793.82, 1,190.59 and 216.56

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Solution

The fourth proportional to 793.82, 1,190.59 and 216.56 is: 324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.82 : 1,190.59 = 216.56 : x
  2. Step 2: Convert to fraction form
    793.82/1,190.59 = 216.56/x
  3. Step 3: Cross multiply
    793.82x = 1,190.59 × 216.56
  4. Step 4: Simplify right side
    793.82x = 257,836.61
  5. Step 5: Solve for x
    x = 257,836.61/793.82
  6. Step 6: Final answer
    x = 324.80

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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.