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Finding the Fourth Proportional to 1,060.38, 1,591.17 and 828.61

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Solution

The fourth proportional to 1,060.38, 1,591.17 and 828.61 is: 1,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.38 : 1,591.17 = 828.61 : x
  2. Step 2: Convert to fraction form
    1,060.38/1,591.17 = 828.61/x
  3. Step 3: Cross multiply
    1,060.38x = 1,591.17 × 828.61
  4. Step 4: Simplify right side
    1,060.38x = 1,318,459.37
  5. Step 5: Solve for x
    x = 1,318,459.37/1,060.38
  6. Step 6: Final answer
    x = 1,243.38

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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.