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Finding the Fourth Proportional to 1,209.32, 1,814.11 and 516.06

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Solution

The fourth proportional to 1,209.32, 1,814.11 and 516.06 is: 774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.32 : 1,814.11 = 516.06 : x
  2. Step 2: Convert to fraction form
    1,209.32/1,814.11 = 516.06/x
  3. Step 3: Cross multiply
    1,209.32x = 1,814.11 × 516.06
  4. Step 4: Simplify right side
    1,209.32x = 936,191.72
  5. Step 5: Solve for x
    x = 936,191.72/1,209.32
  6. Step 6: Final answer
    x = 774.15

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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.