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Finding the Fourth Proportional to 1,399.96, 1,930.08 and 1,006.28

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Solution

The fourth proportional to 1,399.96, 1,930.08 and 1,006.28 is: 1,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.96 : 1,930.08 = 1,006.28 : x
  2. Step 2: Convert to fraction form
    1,399.96/1,930.08 = 1,006.28/x
  3. Step 3: Cross multiply
    1,399.96x = 1,930.08 × 1,006.28
  4. Step 4: Simplify right side
    1,399.96x = 1,942,200.90
  5. Step 5: Solve for x
    x = 1,942,200.90/1,399.96
  6. Step 6: Final answer
    x = 1,387.33

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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.