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Finding the Fourth Proportional to 794, 1,191.24 and 281

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Solution

The fourth proportional to 794, 1,191.24 and 281 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    794 : 1,191.24 = 281 : x
  2. Step 2: Convert to fraction form
    794/1,191.24 = 281/x
  3. Step 3: Cross multiply
    794x = 1,191.24 × 281
  4. Step 4: Simplify right side
    794x = 334,738.44
  5. Step 5: Solve for x
    x = 334,738.44/794
  6. Step 6: Final answer
    x = 421.58

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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.