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Finding the Fourth Proportional to 825.88, 1,238.69 and 248.62

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Solution

The fourth proportional to 825.88, 1,238.69 and 248.62 is: 372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.88 : 1,238.69 = 248.62 : x
  2. Step 2: Convert to fraction form
    825.88/1,238.69 = 248.62/x
  3. Step 3: Cross multiply
    825.88x = 1,238.69 × 248.62
  4. Step 4: Simplify right side
    825.88x = 307,963.11
  5. Step 5: Solve for x
    x = 307,963.11/825.88
  6. Step 6: Final answer
    x = 372.89

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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.