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Finding the Fourth Proportional to 1,380.69, 2,071.38 and 406.79

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Solution

The fourth proportional to 1,380.69, 2,071.38 and 406.79 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.69 : 2,071.38 = 406.79 : x
  2. Step 2: Convert to fraction form
    1,380.69/2,071.38 = 406.79/x
  3. Step 3: Cross multiply
    1,380.69x = 2,071.38 × 406.79
  4. Step 4: Simplify right side
    1,380.69x = 842,606.31
  5. Step 5: Solve for x
    x = 842,606.31/1,380.69
  6. Step 6: Final answer
    x = 610.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.