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Finding the Fourth Proportional to 932.88, 1,286.48 and 601.41

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Solution

The fourth proportional to 932.88, 1,286.48 and 601.41 is: 829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.88 : 1,286.48 = 601.41 : x
  2. Step 2: Convert to fraction form
    932.88/1,286.48 = 601.41/x
  3. Step 3: Cross multiply
    932.88x = 1,286.48 × 601.41
  4. Step 4: Simplify right side
    932.88x = 773,698.93
  5. Step 5: Solve for x
    x = 773,698.93/932.88
  6. Step 6: Final answer
    x = 829.37

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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.