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Finding the Fourth Proportional to 1,399.14, 1,930.86 and 1,007.82

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Solution

The fourth proportional to 1,399.14, 1,930.86 and 1,007.82 is: 1,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.14 : 1,930.86 = 1,007.82 : x
  2. Step 2: Convert to fraction form
    1,399.14/1,930.86 = 1,007.82/x
  3. Step 3: Cross multiply
    1,399.14x = 1,930.86 × 1,007.82
  4. Step 4: Simplify right side
    1,399.14x = 1,945,959.33
  5. Step 5: Solve for x
    x = 1,945,959.33/1,399.14
  6. Step 6: Final answer
    x = 1,390.83

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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.