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Finding the Fourth Proportional to 974.97, 1,462.84 and 427.24

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Solution

The fourth proportional to 974.97, 1,462.84 and 427.24 is: 641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.97 : 1,462.84 = 427.24 : x
  2. Step 2: Convert to fraction form
    974.97/1,462.84 = 427.24/x
  3. Step 3: Cross multiply
    974.97x = 1,462.84 × 427.24
  4. Step 4: Simplify right side
    974.97x = 624,983.76
  5. Step 5: Solve for x
    x = 624,983.76/974.97
  6. Step 6: Final answer
    x = 641.03

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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.