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Finding the Fourth Proportional to 969.20, 1,453.73 and 421.24

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Solution

The fourth proportional to 969.20, 1,453.73 and 421.24 is: 631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.20 : 1,453.73 = 421.24 : x
  2. Step 2: Convert to fraction form
    969.20/1,453.73 = 421.24/x
  3. Step 3: Cross multiply
    969.20x = 1,453.73 × 421.24
  4. Step 4: Simplify right side
    969.20x = 612,369.23
  5. Step 5: Solve for x
    x = 612,369.23/969.20
  6. Step 6: Final answer
    x = 631.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.