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Finding the Fourth Proportional to 1,086.45, 1,635.55 and 989.57

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Solution

The fourth proportional to 1,086.45, 1,635.55 and 989.57 is: 1,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.45 : 1,635.55 = 989.57 : x
  2. Step 2: Convert to fraction form
    1,086.45/1,635.55 = 989.57/x
  3. Step 3: Cross multiply
    1,086.45x = 1,635.55 × 989.57
  4. Step 4: Simplify right side
    1,086.45x = 1,618,500.39
  5. Step 5: Solve for x
    x = 1,618,500.39/1,086.45
  6. Step 6: Final answer
    x = 1,489.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.