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Finding the Fourth Proportional to 825.63, 1,238.07 and 363.54

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Solution

The fourth proportional to 825.63, 1,238.07 and 363.54 is: 545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.63 : 1,238.07 = 363.54 : x
  2. Step 2: Convert to fraction form
    825.63/1,238.07 = 363.54/x
  3. Step 3: Cross multiply
    825.63x = 1,238.07 × 363.54
  4. Step 4: Simplify right side
    825.63x = 450,087.97
  5. Step 5: Solve for x
    x = 450,087.97/825.63
  6. Step 6: Final answer
    x = 545.14

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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.