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Finding the Fourth Proportional to 1,181.82, 1,772.97 and 412.86

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Solution

The fourth proportional to 1,181.82, 1,772.97 and 412.86 is: 619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.82 : 1,772.97 = 412.86 : x
  2. Step 2: Convert to fraction form
    1,181.82/1,772.97 = 412.86/x
  3. Step 3: Cross multiply
    1,181.82x = 1,772.97 × 412.86
  4. Step 4: Simplify right side
    1,181.82x = 731,988.39
  5. Step 5: Solve for x
    x = 731,988.39/1,181.82
  6. Step 6: Final answer
    x = 619.37

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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.