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Finding the Fourth Proportional to 826.26, 1,237.41 and 582.90

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Solution

The fourth proportional to 826.26, 1,237.41 and 582.90 is: 872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.26 : 1,237.41 = 582.90 : x
  2. Step 2: Convert to fraction form
    826.26/1,237.41 = 582.90/x
  3. Step 3: Cross multiply
    826.26x = 1,237.41 × 582.90
  4. Step 4: Simplify right side
    826.26x = 721,286.29
  5. Step 5: Solve for x
    x = 721,286.29/826.26
  6. Step 6: Final answer
    x = 872.95

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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.