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Finding the Fourth Proportional to 1,192.56, 1,786.87 and 844.17

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Solution

The fourth proportional to 1,192.56, 1,786.87 and 844.17 is: 1,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.56 : 1,786.87 = 844.17 : x
  2. Step 2: Convert to fraction form
    1,192.56/1,786.87 = 844.17/x
  3. Step 3: Cross multiply
    1,192.56x = 1,786.87 × 844.17
  4. Step 4: Simplify right side
    1,192.56x = 1,508,422.05
  5. Step 5: Solve for x
    x = 1,508,422.05/1,192.56
  6. Step 6: Final answer
    x = 1,264.86

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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.