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Finding the Fourth Proportional to 764.51, 1,147.23 and 331.56

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Solution

The fourth proportional to 764.51, 1,147.23 and 331.56 is: 497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.51 : 1,147.23 = 331.56 : x
  2. Step 2: Convert to fraction form
    764.51/1,147.23 = 331.56/x
  3. Step 3: Cross multiply
    764.51x = 1,147.23 × 331.56
  4. Step 4: Simplify right side
    764.51x = 380,375.58
  5. Step 5: Solve for x
    x = 380,375.58/764.51
  6. Step 6: Final answer
    x = 497.54

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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.