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Finding the Fourth Proportional to 1,209.75, 1,814.89 and 344.13

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Solution

The fourth proportional to 1,209.75, 1,814.89 and 344.13 is: 516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.75 : 1,814.89 = 344.13 : x
  2. Step 2: Convert to fraction form
    1,209.75/1,814.89 = 344.13/x
  3. Step 3: Cross multiply
    1,209.75x = 1,814.89 × 344.13
  4. Step 4: Simplify right side
    1,209.75x = 624,548.16
  5. Step 5: Solve for x
    x = 624,548.16/1,209.75
  6. Step 6: Final answer
    x = 516.26

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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.