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Finding the Fourth Proportional to 1,399.74, 1,930.77 and 1,007.28

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Solution

The fourth proportional to 1,399.74, 1,930.77 and 1,007.28 is: 1,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.74 : 1,930.77 = 1,007.28 : x
  2. Step 2: Convert to fraction form
    1,399.74/1,930.77 = 1,007.28/x
  3. Step 3: Cross multiply
    1,399.74x = 1,930.77 × 1,007.28
  4. Step 4: Simplify right side
    1,399.74x = 1,944,826.01
  5. Step 5: Solve for x
    x = 1,944,826.01/1,399.74
  6. Step 6: Final answer
    x = 1,389.42

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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.