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Finding the Fourth Proportional to 1,209.76, 1,814.73 and 344.14

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Solution

The fourth proportional to 1,209.76, 1,814.73 and 344.14 is: 516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.76 : 1,814.73 = 344.14 : x
  2. Step 2: Convert to fraction form
    1,209.76/1,814.73 = 344.14/x
  3. Step 3: Cross multiply
    1,209.76x = 1,814.73 × 344.14
  4. Step 4: Simplify right side
    1,209.76x = 624,521.18
  5. Step 5: Solve for x
    x = 624,521.18/1,209.76
  6. Step 6: Final answer
    x = 516.24

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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.