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Finding the Fourth Proportional to 825.86, 1,240.36 and 792.62

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Solution

The fourth proportional to 825.86, 1,240.36 and 792.62 is: 1,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.86 : 1,240.36 = 792.62 : x
  2. Step 2: Convert to fraction form
    825.86/1,240.36 = 792.62/x
  3. Step 3: Cross multiply
    825.86x = 1,240.36 × 792.62
  4. Step 4: Simplify right side
    825.86x = 983,134.14
  5. Step 5: Solve for x
    x = 983,134.14/825.86
  6. Step 6: Final answer
    x = 1,190.44

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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.