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Finding the Fourth Proportional to 1,028.29, 1,541.22 and 541.09

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Solution

The fourth proportional to 1,028.29, 1,541.22 and 541.09 is: 811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.29 : 1,541.22 = 541.09 : x
  2. Step 2: Convert to fraction form
    1,028.29/1,541.22 = 541.09/x
  3. Step 3: Cross multiply
    1,028.29x = 1,541.22 × 541.09
  4. Step 4: Simplify right side
    1,028.29x = 833,938.73
  5. Step 5: Solve for x
    x = 833,938.73/1,028.29
  6. Step 6: Final answer
    x = 811.00

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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.