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Finding the Fourth Proportional to 1,183.39, 1,775.10 and 516.22

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Solution

The fourth proportional to 1,183.39, 1,775.10 and 516.22 is: 774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.39 : 1,775.10 = 516.22 : x
  2. Step 2: Convert to fraction form
    1,183.39/1,775.10 = 516.22/x
  3. Step 3: Cross multiply
    1,183.39x = 1,775.10 × 516.22
  4. Step 4: Simplify right side
    1,183.39x = 916,342.12
  5. Step 5: Solve for x
    x = 916,342.12/1,183.39
  6. Step 6: Final answer
    x = 774.34

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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.