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Finding the Fourth Proportional to 1,272.67, 1,909.28 and 406.98

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Solution

The fourth proportional to 1,272.67, 1,909.28 and 406.98 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.67 : 1,909.28 = 406.98 : x
  2. Step 2: Convert to fraction form
    1,272.67/1,909.28 = 406.98/x
  3. Step 3: Cross multiply
    1,272.67x = 1,909.28 × 406.98
  4. Step 4: Simplify right side
    1,272.67x = 777,039.79
  5. Step 5: Solve for x
    x = 777,039.79/1,272.67
  6. Step 6: Final answer
    x = 610.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.