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Finding the Fourth Proportional to 969.58, 1,453.69 and 449.29

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Solution

The fourth proportional to 969.58, 1,453.69 and 449.29 is: 673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.58 : 1,453.69 = 449.29 : x
  2. Step 2: Convert to fraction form
    969.58/1,453.69 = 449.29/x
  3. Step 3: Cross multiply
    969.58x = 1,453.69 × 449.29
  4. Step 4: Simplify right side
    969.58x = 653,128.38
  5. Step 5: Solve for x
    x = 653,128.38/969.58
  6. Step 6: Final answer
    x = 673.62

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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.