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Finding the Fourth Proportional to 1,380.67, 2,071.01 and 406.85

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Solution

The fourth proportional to 1,380.67, 2,071.01 and 406.85 is: 610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.67 : 2,071.01 = 406.85 : x
  2. Step 2: Convert to fraction form
    1,380.67/2,071.01 = 406.85/x
  3. Step 3: Cross multiply
    1,380.67x = 2,071.01 × 406.85
  4. Step 4: Simplify right side
    1,380.67x = 842,578.03
  5. Step 5: Solve for x
    x = 842,578.03/1,380.67
  6. Step 6: Final answer
    x = 610.27

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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.