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Finding the Fourth Proportional to 1,231.17, 1,698.42 and 832.97

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Solution

The fourth proportional to 1,231.17, 1,698.42 and 832.97 is: 1,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.17 : 1,698.42 = 832.97 : x
  2. Step 2: Convert to fraction form
    1,231.17/1,698.42 = 832.97/x
  3. Step 3: Cross multiply
    1,231.17x = 1,698.42 × 832.97
  4. Step 4: Simplify right side
    1,231.17x = 1,414,735.50
  5. Step 5: Solve for x
    x = 1,414,735.50/1,231.17
  6. Step 6: Final answer
    x = 1,149.10

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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.