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Finding the Fourth Proportional to 1,181.21, 1,770.98 and 450.99

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Solution

The fourth proportional to 1,181.21, 1,770.98 and 450.99 is: 676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.21 : 1,770.98 = 450.99 : x
  2. Step 2: Convert to fraction form
    1,181.21/1,770.98 = 450.99/x
  3. Step 3: Cross multiply
    1,181.21x = 1,770.98 × 450.99
  4. Step 4: Simplify right side
    1,181.21x = 798,692.02
  5. Step 5: Solve for x
    x = 798,692.02/1,181.21
  6. Step 6: Final answer
    x = 676.17

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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.