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Finding the Fourth Proportional to 1,379.26, 2,068.26 and 405.44

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Solution

The fourth proportional to 1,379.26, 2,068.26 and 405.44 is: 607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.26 : 2,068.26 = 405.44 : x
  2. Step 2: Convert to fraction form
    1,379.26/2,068.26 = 405.44/x
  3. Step 3: Cross multiply
    1,379.26x = 2,068.26 × 405.44
  4. Step 4: Simplify right side
    1,379.26x = 838,555.33
  5. Step 5: Solve for x
    x = 838,555.33/1,379.26
  6. Step 6: Final answer
    x = 607.97

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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.