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Finding the Fourth Proportional to 806.92, 1,106.29 and 792.34

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Solution

The fourth proportional to 806.92, 1,106.29 and 792.34 is: 1,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.92 : 1,106.29 = 792.34 : x
  2. Step 2: Convert to fraction form
    806.92/1,106.29 = 792.34/x
  3. Step 3: Cross multiply
    806.92x = 1,106.29 × 792.34
  4. Step 4: Simplify right side
    806.92x = 876,557.82
  5. Step 5: Solve for x
    x = 876,557.82/806.92
  6. Step 6: Final answer
    x = 1,086.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.