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Finding the Fourth Proportional to 1,181.53, 1,770.67 and 747.91

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Solution

The fourth proportional to 1,181.53, 1,770.67 and 747.91 is: 1,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.53 : 1,770.67 = 747.91 : x
  2. Step 2: Convert to fraction form
    1,181.53/1,770.67 = 747.91/x
  3. Step 3: Cross multiply
    1,181.53x = 1,770.67 × 747.91
  4. Step 4: Simplify right side
    1,181.53x = 1,324,301.80
  5. Step 5: Solve for x
    x = 1,324,301.80/1,181.53
  6. Step 6: Final answer
    x = 1,120.84

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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.