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Finding the Fourth Proportional to 842.34, 1,262.97 and 409.26

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Solution

The fourth proportional to 842.34, 1,262.97 and 409.26 is: 613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.34 : 1,262.97 = 409.26 : x
  2. Step 2: Convert to fraction form
    842.34/1,262.97 = 409.26/x
  3. Step 3: Cross multiply
    842.34x = 1,262.97 × 409.26
  4. Step 4: Simplify right side
    842.34x = 516,883.10
  5. Step 5: Solve for x
    x = 516,883.10/842.34
  6. Step 6: Final answer
    x = 613.63

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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.