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Finding the Fourth Proportional to 1,195.29, 1,789.19 and 828.97

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Solution

The fourth proportional to 1,195.29, 1,789.19 and 828.97 is: 1,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.29 : 1,789.19 = 828.97 : x
  2. Step 2: Convert to fraction form
    1,195.29/1,789.19 = 828.97/x
  3. Step 3: Cross multiply
    1,195.29x = 1,789.19 × 828.97
  4. Step 4: Simplify right side
    1,195.29x = 1,483,179.33
  5. Step 5: Solve for x
    x = 1,483,179.33/1,195.29
  6. Step 6: Final answer
    x = 1,240.85

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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.