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Finding the Fourth Proportional to 968.53, 1,451.66 and 447.43

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Solution

The fourth proportional to 968.53, 1,451.66 and 447.43 is: 670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.53 : 1,451.66 = 447.43 : x
  2. Step 2: Convert to fraction form
    968.53/1,451.66 = 447.43/x
  3. Step 3: Cross multiply
    968.53x = 1,451.66 × 447.43
  4. Step 4: Simplify right side
    968.53x = 649,516.23
  5. Step 5: Solve for x
    x = 649,516.23/968.53
  6. Step 6: Final answer
    x = 670.62

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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.