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Finding the Fourth Proportional to 1,220.25, 1,828.31 and 871.81

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Solution

The fourth proportional to 1,220.25, 1,828.31 and 871.81 is: 1,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.25 : 1,828.31 = 871.81 : x
  2. Step 2: Convert to fraction form
    1,220.25/1,828.31 = 871.81/x
  3. Step 3: Cross multiply
    1,220.25x = 1,828.31 × 871.81
  4. Step 4: Simplify right side
    1,220.25x = 1,593,936.87
  5. Step 5: Solve for x
    x = 1,593,936.87/1,220.25
  6. Step 6: Final answer
    x = 1,306.23

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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.