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Finding the Fourth Proportional to 1,485.89, 2,229.14 and 445.85

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Solution

The fourth proportional to 1,485.89, 2,229.14 and 445.85 is: 668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.89 : 2,229.14 = 445.85 : x
  2. Step 2: Convert to fraction form
    1,485.89/2,229.14 = 445.85/x
  3. Step 3: Cross multiply
    1,485.89x = 2,229.14 × 445.85
  4. Step 4: Simplify right side
    1,485.89x = 993,862.07
  5. Step 5: Solve for x
    x = 993,862.07/1,485.89
  6. Step 6: Final answer
    x = 668.87

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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.