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Finding the Fourth Proportional to 1,286.73, 1,929.19 and 660.49

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Solution

The fourth proportional to 1,286.73, 1,929.19 and 660.49 is: 990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.73 : 1,929.19 = 660.49 : x
  2. Step 2: Convert to fraction form
    1,286.73/1,929.19 = 660.49/x
  3. Step 3: Cross multiply
    1,286.73x = 1,929.19 × 660.49
  4. Step 4: Simplify right side
    1,286.73x = 1,274,197.75
  5. Step 5: Solve for x
    x = 1,274,197.75/1,286.73
  6. Step 6: Final answer
    x = 990.26

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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.