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Finding the Fourth Proportional to 793.57, 1,190.34 and 216.43

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Solution

The fourth proportional to 793.57, 1,190.34 and 216.43 is: 324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.57 : 1,190.34 = 216.43 : x
  2. Step 2: Convert to fraction form
    793.57/1,190.34 = 216.43/x
  3. Step 3: Cross multiply
    793.57x = 1,190.34 × 216.43
  4. Step 4: Simplify right side
    793.57x = 257,625.29
  5. Step 5: Solve for x
    x = 257,625.29/793.57
  6. Step 6: Final answer
    x = 324.64

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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.