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Finding the Fourth Proportional to 1,191.83, 1,777.20 and 1,181.48

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Solution

The fourth proportional to 1,191.83, 1,777.20 and 1,181.48 is: 1,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.83 : 1,777.20 = 1,181.48 : x
  2. Step 2: Convert to fraction form
    1,191.83/1,777.20 = 1,181.48/x
  3. Step 3: Cross multiply
    1,191.83x = 1,777.20 × 1,181.48
  4. Step 4: Simplify right side
    1,191.83x = 2,099,717.37
  5. Step 5: Solve for x
    x = 2,099,717.37/1,191.83
  6. Step 6: Final answer
    x = 1,761.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.