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Finding the Fourth Proportional to 923.40, 1,383.28 and 868.73

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Solution

The fourth proportional to 923.40, 1,383.28 and 868.73 is: 1,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.40 : 1,383.28 = 868.73 : x
  2. Step 2: Convert to fraction form
    923.40/1,383.28 = 868.73/x
  3. Step 3: Cross multiply
    923.40x = 1,383.28 × 868.73
  4. Step 4: Simplify right side
    923.40x = 1,201,687.75
  5. Step 5: Solve for x
    x = 1,201,687.75/923.40
  6. Step 6: Final answer
    x = 1,301.37

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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.