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Finding the Fourth Proportional to 1,027.81, 1,541.00 and 822.33

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Solution

The fourth proportional to 1,027.81, 1,541.00 and 822.33 is: 1,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.81 : 1,541.00 = 822.33 : x
  2. Step 2: Convert to fraction form
    1,027.81/1,541.00 = 822.33/x
  3. Step 3: Cross multiply
    1,027.81x = 1,541.00 × 822.33
  4. Step 4: Simplify right side
    1,027.81x = 1,267,205.94
  5. Step 5: Solve for x
    x = 1,267,205.94/1,027.81
  6. Step 6: Final answer
    x = 1,232.91

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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.