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Finding the Fourth Proportional to 876.05, 1,311.83 and 850.10

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Solution

The fourth proportional to 876.05, 1,311.83 and 850.10 is: 1,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.05 : 1,311.83 = 850.10 : x
  2. Step 2: Convert to fraction form
    876.05/1,311.83 = 850.10/x
  3. Step 3: Cross multiply
    876.05x = 1,311.83 × 850.10
  4. Step 4: Simplify right side
    876.05x = 1,115,179.06
  5. Step 5: Solve for x
    x = 1,115,179.06/876.05
  6. Step 6: Final answer
    x = 1,272.96

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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.