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Finding the Fourth Proportional to 1,209.26, 1,813.84 and 343.56

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Solution

The fourth proportional to 1,209.26, 1,813.84 and 343.56 is: 515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.26 : 1,813.84 = 343.56 : x
  2. Step 2: Convert to fraction form
    1,209.26/1,813.84 = 343.56/x
  3. Step 3: Cross multiply
    1,209.26x = 1,813.84 × 343.56
  4. Step 4: Simplify right side
    1,209.26x = 623,162.87
  5. Step 5: Solve for x
    x = 623,162.87/1,209.26
  6. Step 6: Final answer
    x = 515.33

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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.