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Finding the Fourth Proportional to 764.43, 1,146.69 and 216.57

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Solution

The fourth proportional to 764.43, 1,146.69 and 216.57 is: 324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.43 : 1,146.69 = 216.57 : x
  2. Step 2: Convert to fraction form
    764.43/1,146.69 = 216.57/x
  3. Step 3: Cross multiply
    764.43x = 1,146.69 × 216.57
  4. Step 4: Simplify right side
    764.43x = 248,338.65
  5. Step 5: Solve for x
    x = 248,338.65/764.43
  6. Step 6: Final answer
    x = 324.87

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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.