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Finding the Fourth Proportional to 825.69, 1,238.64 and 248.57

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Solution

The fourth proportional to 825.69, 1,238.64 and 248.57 is: 372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.69 : 1,238.64 = 248.57 : x
  2. Step 2: Convert to fraction form
    825.69/1,238.64 = 248.57/x
  3. Step 3: Cross multiply
    825.69x = 1,238.64 × 248.57
  4. Step 4: Simplify right side
    825.69x = 307,881.31
  5. Step 5: Solve for x
    x = 307,881.31/825.69
  6. Step 6: Final answer
    x = 372.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.