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Finding the Fourth Proportional to 613.96, 852.37 and 596.14

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Solution

The fourth proportional to 613.96, 852.37 and 596.14 is: 827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.96 : 852.37 = 596.14 : x
  2. Step 2: Convert to fraction form
    613.96/852.37 = 596.14/x
  3. Step 3: Cross multiply
    613.96x = 852.37 × 596.14
  4. Step 4: Simplify right side
    613.96x = 508,131.85
  5. Step 5: Solve for x
    x = 508,131.85/613.96
  6. Step 6: Final answer
    x = 827.63

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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.