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Finding the Fourth Proportional to 1,449.57, 2,000.47 and 820.05

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Solution

The fourth proportional to 1,449.57, 2,000.47 and 820.05 is: 1,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.57 : 2,000.47 = 820.05 : x
  2. Step 2: Convert to fraction form
    1,449.57/2,000.47 = 820.05/x
  3. Step 3: Cross multiply
    1,449.57x = 2,000.47 × 820.05
  4. Step 4: Simplify right side
    1,449.57x = 1,640,485.42
  5. Step 5: Solve for x
    x = 1,640,485.42/1,449.57
  6. Step 6: Final answer
    x = 1,131.70

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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.