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Finding the Fourth Proportional to 1,027.20, 1,537.76 and 660.90

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Solution

The fourth proportional to 1,027.20, 1,537.76 and 660.90 is: 989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.20 : 1,537.76 = 660.90 : x
  2. Step 2: Convert to fraction form
    1,027.20/1,537.76 = 660.90/x
  3. Step 3: Cross multiply
    1,027.20x = 1,537.76 × 660.90
  4. Step 4: Simplify right side
    1,027.20x = 1,016,305.58
  5. Step 5: Solve for x
    x = 1,016,305.58/1,027.20
  6. Step 6: Final answer
    x = 989.39

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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.