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Finding the Fourth Proportional to 794.75, 1,192.31 and 281.75

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Solution

The fourth proportional to 794.75, 1,192.31 and 281.75 is: 422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.75 : 1,192.31 = 281.75 : x
  2. Step 2: Convert to fraction form
    794.75/1,192.31 = 281.75/x
  3. Step 3: Cross multiply
    794.75x = 1,192.31 × 281.75
  4. Step 4: Simplify right side
    794.75x = 335,931.93
  5. Step 5: Solve for x
    x = 335,931.93/794.75
  6. Step 6: Final answer
    x = 422.69

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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.