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Finding the Fourth Proportional to 1,086.15, 1,628.40 and 537.96

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Solution

The fourth proportional to 1,086.15, 1,628.40 and 537.96 is: 806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.15 : 1,628.40 = 537.96 : x
  2. Step 2: Convert to fraction form
    1,086.15/1,628.40 = 537.96/x
  3. Step 3: Cross multiply
    1,086.15x = 1,628.40 × 537.96
  4. Step 4: Simplify right side
    1,086.15x = 876,014.06
  5. Step 5: Solve for x
    x = 876,014.06/1,086.15
  6. Step 6: Final answer
    x = 806.53

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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.