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Finding the Fourth Proportional to 1,181.21, 1,771.83 and 359.43

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Solution

The fourth proportional to 1,181.21, 1,771.83 and 359.43 is: 539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.21 : 1,771.83 = 359.43 : x
  2. Step 2: Convert to fraction form
    1,181.21/1,771.83 = 359.43/x
  3. Step 3: Cross multiply
    1,181.21x = 1,771.83 × 359.43
  4. Step 4: Simplify right side
    1,181.21x = 636,842.21
  5. Step 5: Solve for x
    x = 636,842.21/1,181.21
  6. Step 6: Final answer
    x = 539.15

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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.