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Finding the Fourth Proportional to 1,272.26, 1,908.31 and 406.57

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Solution

The fourth proportional to 1,272.26, 1,908.31 and 406.57 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.26 : 1,908.31 = 406.57 : x
  2. Step 2: Convert to fraction form
    1,272.26/1,908.31 = 406.57/x
  3. Step 3: Cross multiply
    1,272.26x = 1,908.31 × 406.57
  4. Step 4: Simplify right side
    1,272.26x = 775,861.60
  5. Step 5: Solve for x
    x = 775,861.60/1,272.26
  6. Step 6: Final answer
    x = 609.83

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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.