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Finding the Fourth Proportional to 883.50, 1,324.75 and 363.86

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Solution

The fourth proportional to 883.50, 1,324.75 and 363.86 is: 545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.50 : 1,324.75 = 363.86 : x
  2. Step 2: Convert to fraction form
    883.50/1,324.75 = 363.86/x
  3. Step 3: Cross multiply
    883.50x = 1,324.75 × 363.86
  4. Step 4: Simplify right side
    883.50x = 482,023.54
  5. Step 5: Solve for x
    x = 482,023.54/883.50
  6. Step 6: Final answer
    x = 545.58

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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.