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Finding the Fourth Proportional to 1,181.34, 1,772.10 and 411.84

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Solution

The fourth proportional to 1,181.34, 1,772.10 and 411.84 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.34 : 1,772.10 = 411.84 : x
  2. Step 2: Convert to fraction form
    1,181.34/1,772.10 = 411.84/x
  3. Step 3: Cross multiply
    1,181.34x = 1,772.10 × 411.84
  4. Step 4: Simplify right side
    1,181.34x = 729,821.66
  5. Step 5: Solve for x
    x = 729,821.66/1,181.34
  6. Step 6: Final answer
    x = 617.79

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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.