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Finding the Fourth Proportional to 1,209.66, 1,814.49 and 798.70

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Solution

The fourth proportional to 1,209.66, 1,814.49 and 798.70 is: 1,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.66 : 1,814.49 = 798.70 : x
  2. Step 2: Convert to fraction form
    1,209.66/1,814.49 = 798.70/x
  3. Step 3: Cross multiply
    1,209.66x = 1,814.49 × 798.70
  4. Step 4: Simplify right side
    1,209.66x = 1,449,233.16
  5. Step 5: Solve for x
    x = 1,449,233.16/1,209.66
  6. Step 6: Final answer
    x = 1,198.05

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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.