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Finding the Fourth Proportional to 1,399.60, 1,930.72 and 1,086.92

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Solution

The fourth proportional to 1,399.60, 1,930.72 and 1,086.92 is: 1,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.60 : 1,930.72 = 1,086.92 : x
  2. Step 2: Convert to fraction form
    1,399.60/1,930.72 = 1,086.92/x
  3. Step 3: Cross multiply
    1,399.60x = 1,930.72 × 1,086.92
  4. Step 4: Simplify right side
    1,399.60x = 2,098,538.18
  5. Step 5: Solve for x
    x = 2,098,538.18/1,399.60
  6. Step 6: Final answer
    x = 1,499.38

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Why These Related Problems?

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