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Finding the Fourth Proportional to 1,086.82, 1,631.47 and 826.18

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Solution

The fourth proportional to 1,086.82, 1,631.47 and 826.18 is: 1,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.82 : 1,631.47 = 826.18 : x
  2. Step 2: Convert to fraction form
    1,086.82/1,631.47 = 826.18/x
  3. Step 3: Cross multiply
    1,086.82x = 1,631.47 × 826.18
  4. Step 4: Simplify right side
    1,086.82x = 1,347,887.88
  5. Step 5: Solve for x
    x = 1,347,887.88/1,086.82
  6. Step 6: Final answer
    x = 1,240.21

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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.