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Finding the Fourth Proportional to 974.62, 1,462.12 and 447.58

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Solution

The fourth proportional to 974.62, 1,462.12 and 447.58 is: 671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.62 : 1,462.12 = 447.58 : x
  2. Step 2: Convert to fraction form
    974.62/1,462.12 = 447.58/x
  3. Step 3: Cross multiply
    974.62x = 1,462.12 × 447.58
  4. Step 4: Simplify right side
    974.62x = 654,416.38
  5. Step 5: Solve for x
    x = 654,416.38/974.62
  6. Step 6: Final answer
    x = 671.46

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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.