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Finding the Fourth Proportional to 884.04, 1,324.20 and 422.20

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Solution

The fourth proportional to 884.04, 1,324.20 and 422.20 is: 632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.04 : 1,324.20 = 422.20 : x
  2. Step 2: Convert to fraction form
    884.04/1,324.20 = 422.20/x
  3. Step 3: Cross multiply
    884.04x = 1,324.20 × 422.20
  4. Step 4: Simplify right side
    884.04x = 559,077.24
  5. Step 5: Solve for x
    x = 559,077.24/884.04
  6. Step 6: Final answer
    x = 632.41

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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.