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Finding the Fourth Proportional to 1,018.56, 1,524.48 and 773.73

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Solution

The fourth proportional to 1,018.56, 1,524.48 and 773.73 is: 1,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.56 : 1,524.48 = 773.73 : x
  2. Step 2: Convert to fraction form
    1,018.56/1,524.48 = 773.73/x
  3. Step 3: Cross multiply
    1,018.56x = 1,524.48 × 773.73
  4. Step 4: Simplify right side
    1,018.56x = 1,179,535.91
  5. Step 5: Solve for x
    x = 1,179,535.91/1,018.56
  6. Step 6: Final answer
    x = 1,158.04

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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.