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Finding the Fourth Proportional to 1,194.92, 1,791.84 and 832.04

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Solution

The fourth proportional to 1,194.92, 1,791.84 and 832.04 is: 1,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.92 : 1,791.84 = 832.04 : x
  2. Step 2: Convert to fraction form
    1,194.92/1,791.84 = 832.04/x
  3. Step 3: Cross multiply
    1,194.92x = 1,791.84 × 832.04
  4. Step 4: Simplify right side
    1,194.92x = 1,490,882.55
  5. Step 5: Solve for x
    x = 1,490,882.55/1,194.92
  6. Step 6: Final answer
    x = 1,247.68

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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.