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Finding the Fourth Proportional to 859.92, 1,186.86 and 794.04

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Solution

The fourth proportional to 859.92, 1,186.86 and 794.04 is: 1,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.92 : 1,186.86 = 794.04 : x
  2. Step 2: Convert to fraction form
    859.92/1,186.86 = 794.04/x
  3. Step 3: Cross multiply
    859.92x = 1,186.86 × 794.04
  4. Step 4: Simplify right side
    859.92x = 942,414.31
  5. Step 5: Solve for x
    x = 942,414.31/859.92
  6. Step 6: Final answer
    x = 1,095.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.