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Finding the Fourth Proportional to 823.98, 1,233.87 and 545.49

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Solution

The fourth proportional to 823.98, 1,233.87 and 545.49 is: 816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.98 : 1,233.87 = 545.49 : x
  2. Step 2: Convert to fraction form
    823.98/1,233.87 = 545.49/x
  3. Step 3: Cross multiply
    823.98x = 1,233.87 × 545.49
  4. Step 4: Simplify right side
    823.98x = 673,063.75
  5. Step 5: Solve for x
    x = 673,063.75/823.98
  6. Step 6: Final answer
    x = 816.84

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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.