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Finding the Fourth Proportional to 1,086.37, 1,628.15 and 696.22

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Solution

The fourth proportional to 1,086.37, 1,628.15 and 696.22 is: 1,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.37 : 1,628.15 = 696.22 : x
  2. Step 2: Convert to fraction form
    1,086.37/1,628.15 = 696.22/x
  3. Step 3: Cross multiply
    1,086.37x = 1,628.15 × 696.22
  4. Step 4: Simplify right side
    1,086.37x = 1,133,550.59
  5. Step 5: Solve for x
    x = 1,133,550.59/1,086.37
  6. Step 6: Final answer
    x = 1,043.43

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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.