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Finding the Fourth Proportional to 795.85, 1,193.92 and 247.92

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Solution

The fourth proportional to 795.85, 1,193.92 and 247.92 is: 371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.85 : 1,193.92 = 247.92 : x
  2. Step 2: Convert to fraction form
    795.85/1,193.92 = 247.92/x
  3. Step 3: Cross multiply
    795.85x = 1,193.92 × 247.92
  4. Step 4: Simplify right side
    795.85x = 295,996.65
  5. Step 5: Solve for x
    x = 295,996.65/795.85
  6. Step 6: Final answer
    x = 371.93

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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.