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Finding the Fourth Proportional to 1,192.97, 1,789.24 and 315.48

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Solution

The fourth proportional to 1,192.97, 1,789.24 and 315.48 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.97 : 1,789.24 = 315.48 : x
  2. Step 2: Convert to fraction form
    1,192.97/1,789.24 = 315.48/x
  3. Step 3: Cross multiply
    1,192.97x = 1,789.24 × 315.48
  4. Step 4: Simplify right side
    1,192.97x = 564,459.70
  5. Step 5: Solve for x
    x = 564,459.70/1,192.97
  6. Step 6: Final answer
    x = 473.16

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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.