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Finding the Fourth Proportional to 613.68, 843.42 and 596.40

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Solution

The fourth proportional to 613.68, 843.42 and 596.40 is: 819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.68 : 843.42 = 596.40 : x
  2. Step 2: Convert to fraction form
    613.68/843.42 = 596.40/x
  3. Step 3: Cross multiply
    613.68x = 843.42 × 596.40
  4. Step 4: Simplify right side
    613.68x = 503,015.69
  5. Step 5: Solve for x
    x = 503,015.69/613.68
  6. Step 6: Final answer
    x = 819.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.