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Finding the Fourth Proportional to 825.86, 1,239.01 and 363.73

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Solution

The fourth proportional to 825.86, 1,239.01 and 363.73 is: 545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.86 : 1,239.01 = 363.73 : x
  2. Step 2: Convert to fraction form
    825.86/1,239.01 = 363.73/x
  3. Step 3: Cross multiply
    825.86x = 1,239.01 × 363.73
  4. Step 4: Simplify right side
    825.86x = 450,663.29
  5. Step 5: Solve for x
    x = 450,663.29/825.86
  6. Step 6: Final answer
    x = 545.69

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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.