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Finding the Fourth Proportional to 1,369.22, 2,050.74 and 820.26

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Solution

The fourth proportional to 1,369.22, 2,050.74 and 820.26 is: 1,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.22 : 2,050.74 = 820.26 : x
  2. Step 2: Convert to fraction form
    1,369.22/2,050.74 = 820.26/x
  3. Step 3: Cross multiply
    1,369.22x = 2,050.74 × 820.26
  4. Step 4: Simplify right side
    1,369.22x = 1,682,139.99
  5. Step 5: Solve for x
    x = 1,682,139.99/1,369.22
  6. Step 6: Final answer
    x = 1,228.54

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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.