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Finding the Fourth Proportional to 823.82, 1,235.93 and 580.82

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Solution

The fourth proportional to 823.82, 1,235.93 and 580.82 is: 871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.82 : 1,235.93 = 580.82 : x
  2. Step 2: Convert to fraction form
    823.82/1,235.93 = 580.82/x
  3. Step 3: Cross multiply
    823.82x = 1,235.93 × 580.82
  4. Step 4: Simplify right side
    823.82x = 717,843.78
  5. Step 5: Solve for x
    x = 717,843.78/823.82
  6. Step 6: Final answer
    x = 871.37

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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.