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Finding the Fourth Proportional to 1,027.27, 1,540.09 and 540.06

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Solution

The fourth proportional to 1,027.27, 1,540.09 and 540.06 is: 809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.27 : 1,540.09 = 540.06 : x
  2. Step 2: Convert to fraction form
    1,027.27/1,540.09 = 540.06/x
  3. Step 3: Cross multiply
    1,027.27x = 1,540.09 × 540.06
  4. Step 4: Simplify right side
    1,027.27x = 831,741.01
  5. Step 5: Solve for x
    x = 831,741.01/1,027.27
  6. Step 6: Final answer
    x = 809.66

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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.