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Finding the Fourth Proportional to 764.86, 1,147.41 and 271.24

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Solution

The fourth proportional to 764.86, 1,147.41 and 271.24 is: 406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.86 : 1,147.41 = 271.24 : x
  2. Step 2: Convert to fraction form
    764.86/1,147.41 = 271.24/x
  3. Step 3: Cross multiply
    764.86x = 1,147.41 × 271.24
  4. Step 4: Simplify right side
    764.86x = 311,223.49
  5. Step 5: Solve for x
    x = 311,223.49/764.86
  6. Step 6: Final answer
    x = 406.90

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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.