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Finding the Fourth Proportional to 762.23, 1,143.38 and 214.47

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Solution

The fourth proportional to 762.23, 1,143.38 and 214.47 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.23 : 1,143.38 = 214.47 : x
  2. Step 2: Convert to fraction form
    762.23/1,143.38 = 214.47/x
  3. Step 3: Cross multiply
    762.23x = 1,143.38 × 214.47
  4. Step 4: Simplify right side
    762.23x = 245,221.24
  5. Step 5: Solve for x
    x = 245,221.24/762.23
  6. Step 6: Final answer
    x = 321.71

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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.