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Finding the Fourth Proportional to 932.12, 1,286.32 and 533.78

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Solution

The fourth proportional to 932.12, 1,286.32 and 533.78 is: 736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.12 : 1,286.32 = 533.78 : x
  2. Step 2: Convert to fraction form
    932.12/1,286.32 = 533.78/x
  3. Step 3: Cross multiply
    932.12x = 1,286.32 × 533.78
  4. Step 4: Simplify right side
    932.12x = 686,619.69
  5. Step 5: Solve for x
    x = 686,619.69/932.12
  6. Step 6: Final answer
    x = 736.62

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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.