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Finding the Fourth Proportional to 1,219.69, 1,829.62 and 516.77

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Solution

The fourth proportional to 1,219.69, 1,829.62 and 516.77 is: 775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.69 : 1,829.62 = 516.77 : x
  2. Step 2: Convert to fraction form
    1,219.69/1,829.62 = 516.77/x
  3. Step 3: Cross multiply
    1,219.69x = 1,829.62 × 516.77
  4. Step 4: Simplify right side
    1,219.69x = 945,490.14
  5. Step 5: Solve for x
    x = 945,490.14/1,219.69
  6. Step 6: Final answer
    x = 775.19

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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.