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Finding the Fourth Proportional to 794.96, 1,192.44 and 217.76

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Solution

The fourth proportional to 794.96, 1,192.44 and 217.76 is: 326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.96 : 1,192.44 = 217.76 : x
  2. Step 2: Convert to fraction form
    794.96/1,192.44 = 217.76/x
  3. Step 3: Cross multiply
    794.96x = 1,192.44 × 217.76
  4. Step 4: Simplify right side
    794.96x = 259,665.73
  5. Step 5: Solve for x
    x = 259,665.73/794.96
  6. Step 6: Final answer
    x = 326.64

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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.