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Finding the Fourth Proportional to 968.82, 1,454.01 and 449.40

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Solution

The fourth proportional to 968.82, 1,454.01 and 449.40 is: 674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.82 : 1,454.01 = 449.40 : x
  2. Step 2: Convert to fraction form
    968.82/1,454.01 = 449.40/x
  3. Step 3: Cross multiply
    968.82x = 1,454.01 × 449.40
  4. Step 4: Simplify right side
    968.82x = 653,432.09
  5. Step 5: Solve for x
    x = 653,432.09/968.82
  6. Step 6: Final answer
    x = 674.46

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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.