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Finding the Fourth Proportional to 1,018.09, 1,524.43 and 811.27

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Solution

The fourth proportional to 1,018.09, 1,524.43 and 811.27 is: 1,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.09 : 1,524.43 = 811.27 : x
  2. Step 2: Convert to fraction form
    1,018.09/1,524.43 = 811.27/x
  3. Step 3: Cross multiply
    1,018.09x = 1,524.43 × 811.27
  4. Step 4: Simplify right side
    1,018.09x = 1,236,724.33
  5. Step 5: Solve for x
    x = 1,236,724.33/1,018.09
  6. Step 6: Final answer
    x = 1,214.75

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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.