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Finding the Fourth Proportional to 969.90, 1,454.23 and 449.57

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Solution

The fourth proportional to 969.90, 1,454.23 and 449.57 is: 674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.90 : 1,454.23 = 449.57 : x
  2. Step 2: Convert to fraction form
    969.90/1,454.23 = 449.57/x
  3. Step 3: Cross multiply
    969.90x = 1,454.23 × 449.57
  4. Step 4: Simplify right side
    969.90x = 653,778.18
  5. Step 5: Solve for x
    x = 653,778.18/969.90
  6. Step 6: Final answer
    x = 674.07

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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.