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Finding the Fourth Proportional to 884.18, 1,326.33 and 422.18

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Solution

The fourth proportional to 884.18, 1,326.33 and 422.18 is: 633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.18 : 1,326.33 = 422.18 : x
  2. Step 2: Convert to fraction form
    884.18/1,326.33 = 422.18/x
  3. Step 3: Cross multiply
    884.18x = 1,326.33 × 422.18
  4. Step 4: Simplify right side
    884.18x = 559,943.37
  5. Step 5: Solve for x
    x = 559,943.37/884.18
  6. Step 6: Final answer
    x = 633.29

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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.