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Finding the Fourth Proportional to 932.63, 1,286.77 and 600.78

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Solution

The fourth proportional to 932.63, 1,286.77 and 600.78 is: 828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.63 : 1,286.77 = 600.78 : x
  2. Step 2: Convert to fraction form
    932.63/1,286.77 = 600.78/x
  3. Step 3: Cross multiply
    932.63x = 1,286.77 × 600.78
  4. Step 4: Simplify right side
    932.63x = 773,065.68
  5. Step 5: Solve for x
    x = 773,065.68/932.63
  6. Step 6: Final answer
    x = 828.91

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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.