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Finding the Fourth Proportional to 1,158.78, 1,736.41 and 850.17

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Solution

The fourth proportional to 1,158.78, 1,736.41 and 850.17 is: 1,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.78 : 1,736.41 = 850.17 : x
  2. Step 2: Convert to fraction form
    1,158.78/1,736.41 = 850.17/x
  3. Step 3: Cross multiply
    1,158.78x = 1,736.41 × 850.17
  4. Step 4: Simplify right side
    1,158.78x = 1,476,243.69
  5. Step 5: Solve for x
    x = 1,476,243.69/1,158.78
  6. Step 6: Final answer
    x = 1,273.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.