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Finding the Fourth Proportional to 793.42, 1,190.13 and 216.34

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Solution

The fourth proportional to 793.42, 1,190.13 and 216.34 is: 324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.42 : 1,190.13 = 216.34 : x
  2. Step 2: Convert to fraction form
    793.42/1,190.13 = 216.34/x
  3. Step 3: Cross multiply
    793.42x = 1,190.13 × 216.34
  4. Step 4: Simplify right side
    793.42x = 257,472.72
  5. Step 5: Solve for x
    x = 257,472.72/793.42
  6. Step 6: Final answer
    x = 324.51

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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.