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Finding the Fourth Proportional to 1,028.09, 1,541.82 and 863.61

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Solution

The fourth proportional to 1,028.09, 1,541.82 and 863.61 is: 1,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.09 : 1,541.82 = 863.61 : x
  2. Step 2: Convert to fraction form
    1,028.09/1,541.82 = 863.61/x
  3. Step 3: Cross multiply
    1,028.09x = 1,541.82 × 863.61
  4. Step 4: Simplify right side
    1,028.09x = 1,331,523.77
  5. Step 5: Solve for x
    x = 1,331,523.77/1,028.09
  6. Step 6: Final answer
    x = 1,295.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.