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Finding the Fourth Proportional to 932.68, 1,286.56 and 822.42

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Solution

The fourth proportional to 932.68, 1,286.56 and 822.42 is: 1,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.68 : 1,286.56 = 822.42 : x
  2. Step 2: Convert to fraction form
    932.68/1,286.56 = 822.42/x
  3. Step 3: Cross multiply
    932.68x = 1,286.56 × 822.42
  4. Step 4: Simplify right side
    932.68x = 1,058,092.68
  5. Step 5: Solve for x
    x = 1,058,092.68/932.68
  6. Step 6: Final answer
    x = 1,134.46

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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.