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Finding the Fourth Proportional to 1,027.48, 1,540.25 and 500.27

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Solution

The fourth proportional to 1,027.48, 1,540.25 and 500.27 is: 749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.48 : 1,540.25 = 500.27 : x
  2. Step 2: Convert to fraction form
    1,027.48/1,540.25 = 500.27/x
  3. Step 3: Cross multiply
    1,027.48x = 1,540.25 × 500.27
  4. Step 4: Simplify right side
    1,027.48x = 770,538.98
  5. Step 5: Solve for x
    x = 770,538.98/1,027.48
  6. Step 6: Final answer
    x = 749.93

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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.