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Finding the Fourth Proportional to 1,380.33, 2,069.82 and 406.17

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Solution

The fourth proportional to 1,380.33, 2,069.82 and 406.17 is: 609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.33 : 2,069.82 = 406.17 : x
  2. Step 2: Convert to fraction form
    1,380.33/2,069.82 = 406.17/x
  3. Step 3: Cross multiply
    1,380.33x = 2,069.82 × 406.17
  4. Step 4: Simplify right side
    1,380.33x = 840,698.79
  5. Step 5: Solve for x
    x = 840,698.79/1,380.33
  6. Step 6: Final answer
    x = 609.06

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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.