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Finding the Fourth Proportional to 794.54, 1,191.78 and 217.42

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Solution

The fourth proportional to 794.54, 1,191.78 and 217.42 is: 326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.54 : 1,191.78 = 217.42 : x
  2. Step 2: Convert to fraction form
    794.54/1,191.78 = 217.42/x
  3. Step 3: Cross multiply
    794.54x = 1,191.78 × 217.42
  4. Step 4: Simplify right side
    794.54x = 259,113.83
  5. Step 5: Solve for x
    x = 259,113.83/794.54
  6. Step 6: Final answer
    x = 326.12

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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.