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Finding the Fourth Proportional to 867.23, 1,201.80 and 850.82

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Solution

The fourth proportional to 867.23, 1,201.80 and 850.82 is: 1,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.23 : 1,201.80 = 850.82 : x
  2. Step 2: Convert to fraction form
    867.23/1,201.80 = 850.82/x
  3. Step 3: Cross multiply
    867.23x = 1,201.80 × 850.82
  4. Step 4: Simplify right side
    867.23x = 1,022,509.47
  5. Step 5: Solve for x
    x = 1,022,509.47/867.23
  6. Step 6: Final answer
    x = 1,179.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.