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Finding the Fourth Proportional to 1,181.99, 1,773.70 and 451.63

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Solution

The fourth proportional to 1,181.99, 1,773.70 and 451.63 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.99 : 1,773.70 = 451.63 : x
  2. Step 2: Convert to fraction form
    1,181.99/1,773.70 = 451.63/x
  3. Step 3: Cross multiply
    1,181.99x = 1,773.70 × 451.63
  4. Step 4: Simplify right side
    1,181.99x = 801,047.24
  5. Step 5: Solve for x
    x = 801,047.24/1,181.99
  6. Step 6: Final answer
    x = 677.71

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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.