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Finding the Fourth Proportional to 931.73, 1,286.15 and 833.31

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Solution

The fourth proportional to 931.73, 1,286.15 and 833.31 is: 1,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.73 : 1,286.15 = 833.31 : x
  2. Step 2: Convert to fraction form
    931.73/1,286.15 = 833.31/x
  3. Step 3: Cross multiply
    931.73x = 1,286.15 × 833.31
  4. Step 4: Simplify right side
    931.73x = 1,071,757.49
  5. Step 5: Solve for x
    x = 1,071,757.49/931.73
  6. Step 6: Final answer
    x = 1,150.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.