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Finding the Fourth Proportional to 762.76, 1,144.14 and 214.96

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Solution

The fourth proportional to 762.76, 1,144.14 and 214.96 is: 322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.76 : 1,144.14 = 214.96 : x
  2. Step 2: Convert to fraction form
    762.76/1,144.14 = 214.96/x
  3. Step 3: Cross multiply
    762.76x = 1,144.14 × 214.96
  4. Step 4: Simplify right side
    762.76x = 245,944.33
  5. Step 5: Solve for x
    x = 245,944.33/762.76
  6. Step 6: Final answer
    x = 322.44

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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.