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Finding the Fourth Proportional to 1,209.99, 1,814.07 and 819.03

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Solution

The fourth proportional to 1,209.99, 1,814.07 and 819.03 is: 1,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.99 : 1,814.07 = 819.03 : x
  2. Step 2: Convert to fraction form
    1,209.99/1,814.07 = 819.03/x
  3. Step 3: Cross multiply
    1,209.99x = 1,814.07 × 819.03
  4. Step 4: Simplify right side
    1,209.99x = 1,485,777.75
  5. Step 5: Solve for x
    x = 1,485,777.75/1,209.99
  6. Step 6: Final answer
    x = 1,227.93

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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.