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Finding the Fourth Proportional to 825.40, 1,238.82 and 582.13

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Solution

The fourth proportional to 825.40, 1,238.82 and 582.13 is: 873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.40 : 1,238.82 = 582.13 : x
  2. Step 2: Convert to fraction form
    825.40/1,238.82 = 582.13/x
  3. Step 3: Cross multiply
    825.40x = 1,238.82 × 582.13
  4. Step 4: Simplify right side
    825.40x = 721,154.29
  5. Step 5: Solve for x
    x = 721,154.29/825.40
  6. Step 6: Final answer
    x = 873.70

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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.