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Finding the Fourth Proportional to 927.75, 1,279.31 and 577.83

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Solution

The fourth proportional to 927.75, 1,279.31 and 577.83 is: 796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.75 : 1,279.31 = 577.83 : x
  2. Step 2: Convert to fraction form
    927.75/1,279.31 = 577.83/x
  3. Step 3: Cross multiply
    927.75x = 1,279.31 × 577.83
  4. Step 4: Simplify right side
    927.75x = 739,223.70
  5. Step 5: Solve for x
    x = 739,223.70/927.75
  6. Step 6: Final answer
    x = 796.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.