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Finding the Fourth Proportional to 1,230.21, 1,844.91 and 450.09

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Solution

The fourth proportional to 1,230.21, 1,844.91 and 450.09 is: 674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.21 : 1,844.91 = 450.09 : x
  2. Step 2: Convert to fraction form
    1,230.21/1,844.91 = 450.09/x
  3. Step 3: Cross multiply
    1,230.21x = 1,844.91 × 450.09
  4. Step 4: Simplify right side
    1,230.21x = 830,375.54
  5. Step 5: Solve for x
    x = 830,375.54/1,230.21
  6. Step 6: Final answer
    x = 674.99

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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.