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Finding the Fourth Proportional to 884.21, 1,325.43 and 421.19

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Solution

The fourth proportional to 884.21, 1,325.43 and 421.19 is: 631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.21 : 1,325.43 = 421.19 : x
  2. Step 2: Convert to fraction form
    884.21/1,325.43 = 421.19/x
  3. Step 3: Cross multiply
    884.21x = 1,325.43 × 421.19
  4. Step 4: Simplify right side
    884.21x = 558,257.86
  5. Step 5: Solve for x
    x = 558,257.86/884.21
  6. Step 6: Final answer
    x = 631.36

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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.