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Finding the Fourth Proportional to 1,272.64, 1,909.32 and 406.96

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Solution

The fourth proportional to 1,272.64, 1,909.32 and 406.96 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.64 : 1,909.32 = 406.96 : x
  2. Step 2: Convert to fraction form
    1,272.64/1,909.32 = 406.96/x
  3. Step 3: Cross multiply
    1,272.64x = 1,909.32 × 406.96
  4. Step 4: Simplify right side
    1,272.64x = 777,016.87
  5. Step 5: Solve for x
    x = 777,016.87/1,272.64
  6. Step 6: Final answer
    x = 610.56

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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.