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Finding the Fourth Proportional to 1,272.43, 1,908.74 and 406.77

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Solution

The fourth proportional to 1,272.43, 1,908.74 and 406.77 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.43 : 1,908.74 = 406.77 : x
  2. Step 2: Convert to fraction form
    1,272.43/1,908.74 = 406.77/x
  3. Step 3: Cross multiply
    1,272.43x = 1,908.74 × 406.77
  4. Step 4: Simplify right side
    1,272.43x = 776,418.17
  5. Step 5: Solve for x
    x = 776,418.17/1,272.43
  6. Step 6: Final answer
    x = 610.19

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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.