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Finding the Fourth Proportional to 1,209.50, 1,814.62 and 516.23

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Solution

The fourth proportional to 1,209.50, 1,814.62 and 516.23 is: 774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.50 : 1,814.62 = 516.23 : x
  2. Step 2: Convert to fraction form
    1,209.50/1,814.62 = 516.23/x
  3. Step 3: Cross multiply
    1,209.50x = 1,814.62 × 516.23
  4. Step 4: Simplify right side
    1,209.50x = 936,764.53
  5. Step 5: Solve for x
    x = 936,764.53/1,209.50
  6. Step 6: Final answer
    x = 774.50

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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.