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Finding the Fourth Proportional to 1,086.87, 1,496.85 and 1,031.31

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Solution

The fourth proportional to 1,086.87, 1,496.85 and 1,031.31 is: 1,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.87 : 1,496.85 = 1,031.31 : x
  2. Step 2: Convert to fraction form
    1,086.87/1,496.85 = 1,031.31/x
  3. Step 3: Cross multiply
    1,086.87x = 1,496.85 × 1,031.31
  4. Step 4: Simplify right side
    1,086.87x = 1,543,716.37
  5. Step 5: Solve for x
    x = 1,543,716.37/1,086.87
  6. Step 6: Final answer
    x = 1,420.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.