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Finding the Fourth Proportional to 1,181.41, 1,771.74 and 450.58

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Solution

The fourth proportional to 1,181.41, 1,771.74 and 450.58 is: 675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.41 : 1,771.74 = 450.58 : x
  2. Step 2: Convert to fraction form
    1,181.41/1,771.74 = 450.58/x
  3. Step 3: Cross multiply
    1,181.41x = 1,771.74 × 450.58
  4. Step 4: Simplify right side
    1,181.41x = 798,310.61
  5. Step 5: Solve for x
    x = 798,310.61/1,181.41
  6. Step 6: Final answer
    x = 675.73

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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.