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Finding the Fourth Proportional to 842.92, 1,264.26 and 265.78

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Solution

The fourth proportional to 842.92, 1,264.26 and 265.78 is: 398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.92 : 1,264.26 = 265.78 : x
  2. Step 2: Convert to fraction form
    842.92/1,264.26 = 265.78/x
  3. Step 3: Cross multiply
    842.92x = 1,264.26 × 265.78
  4. Step 4: Simplify right side
    842.92x = 336,015.02
  5. Step 5: Solve for x
    x = 336,015.02/842.92
  6. Step 6: Final answer
    x = 398.63

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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.