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Finding the Fourth Proportional to 1,272.36, 1,908.51 and 406.68

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Solution

The fourth proportional to 1,272.36, 1,908.51 and 406.68 is: 610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.36 : 1,908.51 = 406.68 : x
  2. Step 2: Convert to fraction form
    1,272.36/1,908.51 = 406.68/x
  3. Step 3: Cross multiply
    1,272.36x = 1,908.51 × 406.68
  4. Step 4: Simplify right side
    1,272.36x = 776,143.30
  5. Step 5: Solve for x
    x = 776,143.30/1,272.36
  6. Step 6: Final answer
    x = 610.01

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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.