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Finding the Fourth Proportional to 1,181.06, 1,772.27 and 487.60

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Solution

The fourth proportional to 1,181.06, 1,772.27 and 487.60 is: 731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.06 : 1,772.27 = 487.60 : x
  2. Step 2: Convert to fraction form
    1,181.06/1,772.27 = 487.60/x
  3. Step 3: Cross multiply
    1,181.06x = 1,772.27 × 487.60
  4. Step 4: Simplify right side
    1,181.06x = 864,158.85
  5. Step 5: Solve for x
    x = 864,158.85/1,181.06
  6. Step 6: Final answer
    x = 731.68

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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.