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Finding the Fourth Proportional to 927.92, 1,391.82 and 278.66

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Solution

The fourth proportional to 927.92, 1,391.82 and 278.66 is: 417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.92 : 1,391.82 = 278.66 : x
  2. Step 2: Convert to fraction form
    927.92/1,391.82 = 278.66/x
  3. Step 3: Cross multiply
    927.92x = 1,391.82 × 278.66
  4. Step 4: Simplify right side
    927.92x = 387,844.56
  5. Step 5: Solve for x
    x = 387,844.56/927.92
  6. Step 6: Final answer
    x = 417.97

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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.