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Finding the Fourth Proportional to 974.87, 1,462.31 and 427.10

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Solution

The fourth proportional to 974.87, 1,462.31 and 427.10 is: 640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.87 : 1,462.31 = 427.10 : x
  2. Step 2: Convert to fraction form
    974.87/1,462.31 = 427.10/x
  3. Step 3: Cross multiply
    974.87x = 1,462.31 × 427.10
  4. Step 4: Simplify right side
    974.87x = 624,552.60
  5. Step 5: Solve for x
    x = 624,552.60/974.87
  6. Step 6: Final answer
    x = 640.65

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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.