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Finding the Fourth Proportional to 932.11, 1,285.32 and 600.25

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Solution

The fourth proportional to 932.11, 1,285.32 and 600.25 is: 827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.11 : 1,285.32 = 600.25 : x
  2. Step 2: Convert to fraction form
    932.11/1,285.32 = 600.25/x
  3. Step 3: Cross multiply
    932.11x = 1,285.32 × 600.25
  4. Step 4: Simplify right side
    932.11x = 771,513.33
  5. Step 5: Solve for x
    x = 771,513.33/932.11
  6. Step 6: Final answer
    x = 827.71

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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.