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Finding the Fourth Proportional to 1,229.83, 1,845.16 and 499.21

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Solution

The fourth proportional to 1,229.83, 1,845.16 and 499.21 is: 748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.83 : 1,845.16 = 499.21 : x
  2. Step 2: Convert to fraction form
    1,229.83/1,845.16 = 499.21/x
  3. Step 3: Cross multiply
    1,229.83x = 1,845.16 × 499.21
  4. Step 4: Simplify right side
    1,229.83x = 921,124.44
  5. Step 5: Solve for x
    x = 921,124.44/1,229.83
  6. Step 6: Final answer
    x = 748.98

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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.