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Finding the Fourth Proportional to 969.53, 1,453.16 and 448.43

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Solution

The fourth proportional to 969.53, 1,453.16 and 448.43 is: 672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.53 : 1,453.16 = 448.43 : x
  2. Step 2: Convert to fraction form
    969.53/1,453.16 = 448.43/x
  3. Step 3: Cross multiply
    969.53x = 1,453.16 × 448.43
  4. Step 4: Simplify right side
    969.53x = 651,640.54
  5. Step 5: Solve for x
    x = 651,640.54/969.53
  6. Step 6: Final answer
    x = 672.12

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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.