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Finding the Fourth Proportional to 1,027.28, 1,540.84 and 564.92

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Solution

The fourth proportional to 1,027.28, 1,540.84 and 564.92 is: 847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.28 : 1,540.84 = 564.92 : x
  2. Step 2: Convert to fraction form
    1,027.28/1,540.84 = 564.92/x
  3. Step 3: Cross multiply
    1,027.28x = 1,540.84 × 564.92
  4. Step 4: Simplify right side
    1,027.28x = 870,451.33
  5. Step 5: Solve for x
    x = 870,451.33/1,027.28
  6. Step 6: Final answer
    x = 847.34

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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.