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Finding the Fourth Proportional to 1,027.23, 1,540.68 and 333.96

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Solution

The fourth proportional to 1,027.23, 1,540.68 and 333.96 is: 500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.23 : 1,540.68 = 333.96 : x
  2. Step 2: Convert to fraction form
    1,027.23/1,540.68 = 333.96/x
  3. Step 3: Cross multiply
    1,027.23x = 1,540.68 × 333.96
  4. Step 4: Simplify right side
    1,027.23x = 514,525.49
  5. Step 5: Solve for x
    x = 514,525.49/1,027.23
  6. Step 6: Final answer
    x = 500.89

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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.