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Finding the Fourth Proportional to 1,305.09, 1,957.26 and 403.14

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Solution

The fourth proportional to 1,305.09, 1,957.26 and 403.14 is: 604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.09 : 1,957.26 = 403.14 : x
  2. Step 2: Convert to fraction form
    1,305.09/1,957.26 = 403.14/x
  3. Step 3: Cross multiply
    1,305.09x = 1,957.26 × 403.14
  4. Step 4: Simplify right side
    1,305.09x = 789,049.80
  5. Step 5: Solve for x
    x = 789,049.80/1,305.09
  6. Step 6: Final answer
    x = 604.59

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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.