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Finding the Fourth Proportional to 932.17, 1,286.50 and 596.39

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Solution

The fourth proportional to 932.17, 1,286.50 and 596.39 is: 823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.17 : 1,286.50 = 596.39 : x
  2. Step 2: Convert to fraction form
    932.17/1,286.50 = 596.39/x
  3. Step 3: Cross multiply
    932.17x = 1,286.50 × 596.39
  4. Step 4: Simplify right side
    932.17x = 767,249.30
  5. Step 5: Solve for x
    x = 767,249.30/932.17
  6. Step 6: Final answer
    x = 823.08

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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.