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Finding the Fourth Proportional to 795.26, 1,192.98 and 247.52

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Solution

The fourth proportional to 795.26, 1,192.98 and 247.52 is: 371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.26 : 1,192.98 = 247.52 : x
  2. Step 2: Convert to fraction form
    795.26/1,192.98 = 247.52/x
  3. Step 3: Cross multiply
    795.26x = 1,192.98 × 247.52
  4. Step 4: Simplify right side
    795.26x = 295,286.41
  5. Step 5: Solve for x
    x = 295,286.41/795.26
  6. Step 6: Final answer
    x = 371.31

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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.