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Finding the Fourth Proportional to 969.13, 1,453.51 and 449.09

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Solution

The fourth proportional to 969.13, 1,453.51 and 449.09 is: 673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.13 : 1,453.51 = 449.09 : x
  2. Step 2: Convert to fraction form
    969.13/1,453.51 = 449.09/x
  3. Step 3: Cross multiply
    969.13x = 1,453.51 × 449.09
  4. Step 4: Simplify right side
    969.13x = 652,756.81
  5. Step 5: Solve for x
    x = 652,756.81/969.13
  6. Step 6: Final answer
    x = 673.55

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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.