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Finding the Fourth Proportional to 764.22, 1,145.19 and 331.14

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Solution

The fourth proportional to 764.22, 1,145.19 and 331.14 is: 496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.22 : 1,145.19 = 331.14 : x
  2. Step 2: Convert to fraction form
    764.22/1,145.19 = 331.14/x
  3. Step 3: Cross multiply
    764.22x = 1,145.19 × 331.14
  4. Step 4: Simplify right side
    764.22x = 379,218.22
  5. Step 5: Solve for x
    x = 379,218.22/764.22
  6. Step 6: Final answer
    x = 496.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.