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Finding the Fourth Proportional to 1,380.66, 2,071.32 and 406.73

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Solution

The fourth proportional to 1,380.66, 2,071.32 and 406.73 is: 610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.66 : 2,071.32 = 406.73 : x
  2. Step 2: Convert to fraction form
    1,380.66/2,071.32 = 406.73/x
  3. Step 3: Cross multiply
    1,380.66x = 2,071.32 × 406.73
  4. Step 4: Simplify right side
    1,380.66x = 842,467.98
  5. Step 5: Solve for x
    x = 842,467.98/1,380.66
  6. Step 6: Final answer
    x = 610.19

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Why These Related Problems?

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