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Finding the Fourth Proportional to 600.37, 826.85 and 517.44

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Solution

The fourth proportional to 600.37, 826.85 and 517.44 is: 712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.37 : 826.85 = 517.44 : x
  2. Step 2: Convert to fraction form
    600.37/826.85 = 517.44/x
  3. Step 3: Cross multiply
    600.37x = 826.85 × 517.44
  4. Step 4: Simplify right side
    600.37x = 427,849.66
  5. Step 5: Solve for x
    x = 427,849.66/600.37
  6. Step 6: Final answer
    x = 712.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.