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Finding the Fourth Proportional to 930.96, 1,286.69 and 825.26

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Solution

The fourth proportional to 930.96, 1,286.69 and 825.26 is: 1,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.96 : 1,286.69 = 825.26 : x
  2. Step 2: Convert to fraction form
    930.96/1,286.69 = 825.26/x
  3. Step 3: Cross multiply
    930.96x = 1,286.69 × 825.26
  4. Step 4: Simplify right side
    930.96x = 1,061,843.23
  5. Step 5: Solve for x
    x = 1,061,843.23/930.96
  6. Step 6: Final answer
    x = 1,140.59

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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.