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Finding the Fourth Proportional to 986.31, 1,470.78 and 850.23

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Solution

The fourth proportional to 986.31, 1,470.78 and 850.23 is: 1,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.31 : 1,470.78 = 850.23 : x
  2. Step 2: Convert to fraction form
    986.31/1,470.78 = 850.23/x
  3. Step 3: Cross multiply
    986.31x = 1,470.78 × 850.23
  4. Step 4: Simplify right side
    986.31x = 1,250,501.28
  5. Step 5: Solve for x
    x = 1,250,501.28/986.31
  6. Step 6: Final answer
    x = 1,267.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.