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Finding the Fourth Proportional to 600.57, 902.43 and 523.73

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Solution

The fourth proportional to 600.57, 902.43 and 523.73 is: 786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.57 : 902.43 = 523.73 : x
  2. Step 2: Convert to fraction form
    600.57/902.43 = 523.73/x
  3. Step 3: Cross multiply
    600.57x = 902.43 × 523.73
  4. Step 4: Simplify right side
    600.57x = 472,625.15
  5. Step 5: Solve for x
    x = 472,625.15/600.57
  6. Step 6: Final answer
    x = 786.96

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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.