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Finding the Fourth Proportional to 828.73, 1,241.73 and 584.82

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Solution

The fourth proportional to 828.73, 1,241.73 and 584.82 is: 876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.73 : 1,241.73 = 584.82 : x
  2. Step 2: Convert to fraction form
    828.73/1,241.73 = 584.82/x
  3. Step 3: Cross multiply
    828.73x = 1,241.73 × 584.82
  4. Step 4: Simplify right side
    828.73x = 726,188.54
  5. Step 5: Solve for x
    x = 726,188.54/828.73
  6. Step 6: Final answer
    x = 876.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.