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Finding the Fourth Proportional to 1,112, 1,667.82 and 786.38

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Solution

The fourth proportional to 1,112, 1,667.82 and 786.38 is: 1,179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112 : 1,667.82 = 786.38 : x
  2. Step 2: Convert to fraction form
    1,112/1,667.82 = 786.38/x
  3. Step 3: Cross multiply
    1,112x = 1,667.82 × 786.38
  4. Step 4: Simplify right side
    1,112x = 1,311,540.29
  5. Step 5: Solve for x
    x = 1,311,540.29/1,112
  6. Step 6: Final answer
    x = 1,179.44

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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.