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Finding the Fourth Proportional to 795.90, 1,193.23 and 247.75

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Solution

The fourth proportional to 795.90, 1,193.23 and 247.75 is: 371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.90 : 1,193.23 = 247.75 : x
  2. Step 2: Convert to fraction form
    795.90/1,193.23 = 247.75/x
  3. Step 3: Cross multiply
    795.90x = 1,193.23 × 247.75
  4. Step 4: Simplify right side
    795.90x = 295,622.73
  5. Step 5: Solve for x
    x = 295,622.73/795.90
  6. Step 6: Final answer
    x = 371.43

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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.