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Finding the Fourth Proportional to 1,317.98, 1,976.97 and 344.09

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Solution

The fourth proportional to 1,317.98, 1,976.97 and 344.09 is: 516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.98 : 1,976.97 = 344.09 : x
  2. Step 2: Convert to fraction form
    1,317.98/1,976.97 = 344.09/x
  3. Step 3: Cross multiply
    1,317.98x = 1,976.97 × 344.09
  4. Step 4: Simplify right side
    1,317.98x = 680,245.72
  5. Step 5: Solve for x
    x = 680,245.72/1,317.98
  6. Step 6: Final answer
    x = 516.13

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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.