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Finding the Fourth Proportional to 927.75, 1,279.94 and 591.78

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Solution

The fourth proportional to 927.75, 1,279.94 and 591.78 is: 816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.75 : 1,279.94 = 591.78 : x
  2. Step 2: Convert to fraction form
    927.75/1,279.94 = 591.78/x
  3. Step 3: Cross multiply
    927.75x = 1,279.94 × 591.78
  4. Step 4: Simplify right side
    927.75x = 757,439.93
  5. Step 5: Solve for x
    x = 757,439.93/927.75
  6. Step 6: Final answer
    x = 816.43

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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.