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Finding the Fourth Proportional to 986.08, 1,471.89 and 869.31

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Solution

The fourth proportional to 986.08, 1,471.89 and 869.31 is: 1,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.08 : 1,471.89 = 869.31 : x
  2. Step 2: Convert to fraction form
    986.08/1,471.89 = 869.31/x
  3. Step 3: Cross multiply
    986.08x = 1,471.89 × 869.31
  4. Step 4: Simplify right side
    986.08x = 1,279,528.70
  5. Step 5: Solve for x
    x = 1,279,528.70/986.08
  6. Step 6: Final answer
    x = 1,297.59

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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.