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Finding the Fourth Proportional to 825.07, 1,238.21 and 392.23

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Solution

The fourth proportional to 825.07, 1,238.21 and 392.23 is: 588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.07 : 1,238.21 = 392.23 : x
  2. Step 2: Convert to fraction form
    825.07/1,238.21 = 392.23/x
  3. Step 3: Cross multiply
    825.07x = 1,238.21 × 392.23
  4. Step 4: Simplify right side
    825.07x = 485,654.96
  5. Step 5: Solve for x
    x = 485,654.96/825.07
  6. Step 6: Final answer
    x = 588.63

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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.