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Finding the Fourth Proportional to 1,181.05, 1,771.80 and 488.09

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Solution

The fourth proportional to 1,181.05, 1,771.80 and 488.09 is: 732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.05 : 1,771.80 = 488.09 : x
  2. Step 2: Convert to fraction form
    1,181.05/1,771.80 = 488.09/x
  3. Step 3: Cross multiply
    1,181.05x = 1,771.80 × 488.09
  4. Step 4: Simplify right side
    1,181.05x = 864,797.86
  5. Step 5: Solve for x
    x = 864,797.86/1,181.05
  6. Step 6: Final answer
    x = 732.23

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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.