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Finding the Fourth Proportional to 789.14, 1,183.26 and 529.21

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Solution

The fourth proportional to 789.14, 1,183.26 and 529.21 is: 793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.14 : 1,183.26 = 529.21 : x
  2. Step 2: Convert to fraction form
    789.14/1,183.26 = 529.21/x
  3. Step 3: Cross multiply
    789.14x = 1,183.26 × 529.21
  4. Step 4: Simplify right side
    789.14x = 626,190.18
  5. Step 5: Solve for x
    x = 626,190.18/789.14
  6. Step 6: Final answer
    x = 793.51

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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.