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Finding the Fourth Proportional to 794.72, 1,192.24 and 281.76

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Solution

The fourth proportional to 794.72, 1,192.24 and 281.76 is: 422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.72 : 1,192.24 = 281.76 : x
  2. Step 2: Convert to fraction form
    794.72/1,192.24 = 281.76/x
  3. Step 3: Cross multiply
    794.72x = 1,192.24 × 281.76
  4. Step 4: Simplify right side
    794.72x = 335,925.54
  5. Step 5: Solve for x
    x = 335,925.54/794.72
  6. Step 6: Final answer
    x = 422.70

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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.