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Finding the Fourth Proportional to 1,181.13, 1,770.67 and 450.19

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Solution

The fourth proportional to 1,181.13, 1,770.67 and 450.19 is: 674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.13 : 1,770.67 = 450.19 : x
  2. Step 2: Convert to fraction form
    1,181.13/1,770.67 = 450.19/x
  3. Step 3: Cross multiply
    1,181.13x = 1,770.67 × 450.19
  4. Step 4: Simplify right side
    1,181.13x = 797,137.93
  5. Step 5: Solve for x
    x = 797,137.93/1,181.13
  6. Step 6: Final answer
    x = 674.89

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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.