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Finding the Fourth Proportional to 1,270.20, 1,906.26 and 540.29

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Solution

The fourth proportional to 1,270.20, 1,906.26 and 540.29 is: 810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.20 : 1,906.26 = 540.29 : x
  2. Step 2: Convert to fraction form
    1,270.20/1,906.26 = 540.29/x
  3. Step 3: Cross multiply
    1,270.20x = 1,906.26 × 540.29
  4. Step 4: Simplify right side
    1,270.20x = 1,029,933.22
  5. Step 5: Solve for x
    x = 1,029,933.22/1,270.20
  6. Step 6: Final answer
    x = 810.84

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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.