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Finding the Fourth Proportional to 1,040.56, 1,560.85 and 271.06

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Solution

The fourth proportional to 1,040.56, 1,560.85 and 271.06 is: 406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.56 : 1,560.85 = 271.06 : x
  2. Step 2: Convert to fraction form
    1,040.56/1,560.85 = 271.06/x
  3. Step 3: Cross multiply
    1,040.56x = 1,560.85 × 271.06
  4. Step 4: Simplify right side
    1,040.56x = 423,084.00
  5. Step 5: Solve for x
    x = 423,084.00/1,040.56
  6. Step 6: Final answer
    x = 406.59

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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.