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Finding the Fourth Proportional to 1,406.33, 2,107.80 and 820.20

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Solution

The fourth proportional to 1,406.33, 2,107.80 and 820.20 is: 1,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.33 : 2,107.80 = 820.20 : x
  2. Step 2: Convert to fraction form
    1,406.33/2,107.80 = 820.20/x
  3. Step 3: Cross multiply
    1,406.33x = 2,107.80 × 820.20
  4. Step 4: Simplify right side
    1,406.33x = 1,728,817.56
  5. Step 5: Solve for x
    x = 1,728,817.56/1,406.33
  6. Step 6: Final answer
    x = 1,229.32

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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.