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Finding the Fourth Proportional to 1,209.53, 1,814.43 and 343.83

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Solution

The fourth proportional to 1,209.53, 1,814.43 and 343.83 is: 515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.53 : 1,814.43 = 343.83 : x
  2. Step 2: Convert to fraction form
    1,209.53/1,814.43 = 343.83/x
  3. Step 3: Cross multiply
    1,209.53x = 1,814.43 × 343.83
  4. Step 4: Simplify right side
    1,209.53x = 623,855.47
  5. Step 5: Solve for x
    x = 623,855.47/1,209.53
  6. Step 6: Final answer
    x = 515.79

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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.