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Finding the Fourth Proportional to 552.67, 822.23 and 519.87

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Solution

The fourth proportional to 552.67, 822.23 and 519.87 is: 773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.67 : 822.23 = 519.87 : x
  2. Step 2: Convert to fraction form
    552.67/822.23 = 519.87/x
  3. Step 3: Cross multiply
    552.67x = 822.23 × 519.87
  4. Step 4: Simplify right side
    552.67x = 427,452.35
  5. Step 5: Solve for x
    x = 427,452.35/552.67
  6. Step 6: Final answer
    x = 773.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.