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Finding the Fourth Proportional to 1,485.50, 2,049.89 and 822.30

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Solution

The fourth proportional to 1,485.50, 2,049.89 and 822.30 is: 1,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.50 : 2,049.89 = 822.30 : x
  2. Step 2: Convert to fraction form
    1,485.50/2,049.89 = 822.30/x
  3. Step 3: Cross multiply
    1,485.50x = 2,049.89 × 822.30
  4. Step 4: Simplify right side
    1,485.50x = 1,685,620.44
  5. Step 5: Solve for x
    x = 1,685,620.44/1,485.50
  6. Step 6: Final answer
    x = 1,134.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.