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Finding the Fourth Proportional to 1,447.20, 1,997.06 and 857.79

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Solution

The fourth proportional to 1,447.20, 1,997.06 and 857.79 is: 1,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.20 : 1,997.06 = 857.79 : x
  2. Step 2: Convert to fraction form
    1,447.20/1,997.06 = 857.79/x
  3. Step 3: Cross multiply
    1,447.20x = 1,997.06 × 857.79
  4. Step 4: Simplify right side
    1,447.20x = 1,713,053.81
  5. Step 5: Solve for x
    x = 1,713,053.81/1,447.20
  6. Step 6: Final answer
    x = 1,183.70

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Why These Related Problems?

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