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Finding the Fourth Proportional to 969.22, 1,454.42 and 421.42

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Solution

The fourth proportional to 969.22, 1,454.42 and 421.42 is: 632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.22 : 1,454.42 = 421.42 : x
  2. Step 2: Convert to fraction form
    969.22/1,454.42 = 421.42/x
  3. Step 3: Cross multiply
    969.22x = 1,454.42 × 421.42
  4. Step 4: Simplify right side
    969.22x = 612,921.68
  5. Step 5: Solve for x
    x = 612,921.68/969.22
  6. Step 6: Final answer
    x = 632.39

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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.