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Finding the Fourth Proportional to 773.06, 1,159.43 and 225.27

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Solution

The fourth proportional to 773.06, 1,159.43 and 225.27 is: 337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.06 : 1,159.43 = 225.27 : x
  2. Step 2: Convert to fraction form
    773.06/1,159.43 = 225.27/x
  3. Step 3: Cross multiply
    773.06x = 1,159.43 × 225.27
  4. Step 4: Simplify right side
    773.06x = 261,183.67
  5. Step 5: Solve for x
    x = 261,183.67/773.06
  6. Step 6: Final answer
    x = 337.86

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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.