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Finding the Fourth Proportional to 1,208.26, 1,812.78 and 559.42

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Solution

The fourth proportional to 1,208.26, 1,812.78 and 559.42 is: 839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.26 : 1,812.78 = 559.42 : x
  2. Step 2: Convert to fraction form
    1,208.26/1,812.78 = 559.42/x
  3. Step 3: Cross multiply
    1,208.26x = 1,812.78 × 559.42
  4. Step 4: Simplify right side
    1,208.26x = 1,014,105.39
  5. Step 5: Solve for x
    x = 1,014,105.39/1,208.26
  6. Step 6: Final answer
    x = 839.31

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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.