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Finding the Fourth Proportional to 1,485.73, 2,228.14 and 445.78

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Solution

The fourth proportional to 1,485.73, 2,228.14 and 445.78 is: 668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.73 : 2,228.14 = 445.78 : x
  2. Step 2: Convert to fraction form
    1,485.73/2,228.14 = 445.78/x
  3. Step 3: Cross multiply
    1,485.73x = 2,228.14 × 445.78
  4. Step 4: Simplify right side
    1,485.73x = 993,260.25
  5. Step 5: Solve for x
    x = 993,260.25/1,485.73
  6. Step 6: Final answer
    x = 668.53

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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.