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Finding the Fourth Proportional to 1,272.33, 1,908.81 and 406.64

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Solution

The fourth proportional to 1,272.33, 1,908.81 and 406.64 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.33 : 1,908.81 = 406.64 : x
  2. Step 2: Convert to fraction form
    1,272.33/1,908.81 = 406.64/x
  3. Step 3: Cross multiply
    1,272.33x = 1,908.81 × 406.64
  4. Step 4: Simplify right side
    1,272.33x = 776,188.95
  5. Step 5: Solve for x
    x = 776,188.95/1,272.33
  6. Step 6: Final answer
    x = 610.05

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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.