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Finding the Fourth Proportional to 968.44, 1,453.02 and 448.69

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Solution

The fourth proportional to 968.44, 1,453.02 and 448.69 is: 673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.44 : 1,453.02 = 448.69 : x
  2. Step 2: Convert to fraction form
    968.44/1,453.02 = 448.69/x
  3. Step 3: Cross multiply
    968.44x = 1,453.02 × 448.69
  4. Step 4: Simplify right side
    968.44x = 651,955.54
  5. Step 5: Solve for x
    x = 651,955.54/968.44
  6. Step 6: Final answer
    x = 673.20

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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.