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Finding the Fourth Proportional to 1,272.54, 1,908.81 and 406.92

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Solution

The fourth proportional to 1,272.54, 1,908.81 and 406.92 is: 610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.54 : 1,908.81 = 406.92 : x
  2. Step 2: Convert to fraction form
    1,272.54/1,908.81 = 406.92/x
  3. Step 3: Cross multiply
    1,272.54x = 1,908.81 × 406.92
  4. Step 4: Simplify right side
    1,272.54x = 776,732.97
  5. Step 5: Solve for x
    x = 776,732.97/1,272.54
  6. Step 6: Final answer
    x = 610.38

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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.