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Finding the Fourth Proportional to 974.48, 1,462.09 and 426.74

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Solution

The fourth proportional to 974.48, 1,462.09 and 426.74 is: 640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.48 : 1,462.09 = 426.74 : x
  2. Step 2: Convert to fraction form
    974.48/1,462.09 = 426.74/x
  3. Step 3: Cross multiply
    974.48x = 1,462.09 × 426.74
  4. Step 4: Simplify right side
    974.48x = 623,924.98
  5. Step 5: Solve for x
    x = 623,924.98/974.48
  6. Step 6: Final answer
    x = 640.27

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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.