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Finding the Fourth Proportional to 613.37, 851.96 and 596.09

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Solution

The fourth proportional to 613.37, 851.96 and 596.09 is: 827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.37 : 851.96 = 596.09 : x
  2. Step 2: Convert to fraction form
    613.37/851.96 = 596.09/x
  3. Step 3: Cross multiply
    613.37x = 851.96 × 596.09
  4. Step 4: Simplify right side
    613.37x = 507,837.60
  5. Step 5: Solve for x
    x = 507,837.60/613.37
  6. Step 6: Final answer
    x = 827.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.