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Finding the Fourth Proportional to 932.62, 1,286.75 and 601.16

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Solution

The fourth proportional to 932.62, 1,286.75 and 601.16 is: 829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.62 : 1,286.75 = 601.16 : x
  2. Step 2: Convert to fraction form
    932.62/1,286.75 = 601.16/x
  3. Step 3: Cross multiply
    932.62x = 1,286.75 × 601.16
  4. Step 4: Simplify right side
    932.62x = 773,542.63
  5. Step 5: Solve for x
    x = 773,542.63/932.62
  6. Step 6: Final answer
    x = 829.43

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