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Finding the Fourth Proportional to 974.37, 1,460.10 and 426.27

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Solution

The fourth proportional to 974.37, 1,460.10 and 426.27 is: 638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.37 : 1,460.10 = 426.27 : x
  2. Step 2: Convert to fraction form
    974.37/1,460.10 = 426.27/x
  3. Step 3: Cross multiply
    974.37x = 1,460.10 × 426.27
  4. Step 4: Simplify right side
    974.37x = 622,396.83
  5. Step 5: Solve for x
    x = 622,396.83/974.37
  6. Step 6: Final answer
    x = 638.77

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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.