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Finding the Fourth Proportional to 1,027.26, 1,540.96 and 333.88

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Solution

The fourth proportional to 1,027.26, 1,540.96 and 333.88 is: 500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.26 : 1,540.96 = 333.88 : x
  2. Step 2: Convert to fraction form
    1,027.26/1,540.96 = 333.88/x
  3. Step 3: Cross multiply
    1,027.26x = 1,540.96 × 333.88
  4. Step 4: Simplify right side
    1,027.26x = 514,491.04
  5. Step 5: Solve for x
    x = 514,491.04/1,027.26
  6. Step 6: Final answer
    x = 500.84

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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.