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Finding the Fourth Proportional to 1,447.72, 1,997.60 and 858.04

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Solution

The fourth proportional to 1,447.72, 1,997.60 and 858.04 is: 1,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.72 : 1,997.60 = 858.04 : x
  2. Step 2: Convert to fraction form
    1,447.72/1,997.60 = 858.04/x
  3. Step 3: Cross multiply
    1,447.72x = 1,997.60 × 858.04
  4. Step 4: Simplify right side
    1,447.72x = 1,714,020.70
  5. Step 5: Solve for x
    x = 1,714,020.70/1,447.72
  6. Step 6: Final answer
    x = 1,183.94

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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.