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Finding the Fourth Proportional to 1,181.08, 1,771.88 and 359.44

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Solution

The fourth proportional to 1,181.08, 1,771.88 and 359.44 is: 539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.08 : 1,771.88 = 359.44 : x
  2. Step 2: Convert to fraction form
    1,181.08/1,771.88 = 359.44/x
  3. Step 3: Cross multiply
    1,181.08x = 1,771.88 × 359.44
  4. Step 4: Simplify right side
    1,181.08x = 636,884.55
  5. Step 5: Solve for x
    x = 636,884.55/1,181.08
  6. Step 6: Final answer
    x = 539.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.