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Finding the Fourth Proportional to 1,040.31, 1,560.44 and 270.81

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Solution

The fourth proportional to 1,040.31, 1,560.44 and 270.81 is: 406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.31 : 1,560.44 = 270.81 : x
  2. Step 2: Convert to fraction form
    1,040.31/1,560.44 = 270.81/x
  3. Step 3: Cross multiply
    1,040.31x = 1,560.44 × 270.81
  4. Step 4: Simplify right side
    1,040.31x = 422,581.40
  5. Step 5: Solve for x
    x = 422,581.40/1,040.31
  6. Step 6: Final answer
    x = 406.21

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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.