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Finding the Fourth Proportional to 1,380.96, 2,071.49 and 406.98

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Solution

The fourth proportional to 1,380.96, 2,071.49 and 406.98 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.96 : 2,071.49 = 406.98 : x
  2. Step 2: Convert to fraction form
    1,380.96/2,071.49 = 406.98/x
  3. Step 3: Cross multiply
    1,380.96x = 2,071.49 × 406.98
  4. Step 4: Simplify right side
    1,380.96x = 843,052.97
  5. Step 5: Solve for x
    x = 843,052.97/1,380.96
  6. Step 6: Final answer
    x = 610.48

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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.