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Finding the Fourth Proportional to 795.23, 1,192.70 and 217.97

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Solution

The fourth proportional to 795.23, 1,192.70 and 217.97 is: 326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.23 : 1,192.70 = 217.97 : x
  2. Step 2: Convert to fraction form
    795.23/1,192.70 = 217.97/x
  3. Step 3: Cross multiply
    795.23x = 1,192.70 × 217.97
  4. Step 4: Simplify right side
    795.23x = 259,965.77
  5. Step 5: Solve for x
    x = 259,965.77/795.23
  6. Step 6: Final answer
    x = 326.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.