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Finding the Fourth Proportional to 884.68, 1,327.83 and 452.14

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Solution

The fourth proportional to 884.68, 1,327.83 and 452.14 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.68 : 1,327.83 = 452.14 : x
  2. Step 2: Convert to fraction form
    884.68/1,327.83 = 452.14/x
  3. Step 3: Cross multiply
    884.68x = 1,327.83 × 452.14
  4. Step 4: Simplify right side
    884.68x = 600,365.06
  5. Step 5: Solve for x
    x = 600,365.06/884.68
  6. Step 6: Final answer
    x = 678.62

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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.