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Finding the Fourth Proportional to 1,447.97, 2,171.85 and 570.42

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Solution

The fourth proportional to 1,447.97, 2,171.85 and 570.42 is: 855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.97 : 2,171.85 = 570.42 : x
  2. Step 2: Convert to fraction form
    1,447.97/2,171.85 = 570.42/x
  3. Step 3: Cross multiply
    1,447.97x = 2,171.85 × 570.42
  4. Step 4: Simplify right side
    1,447.97x = 1,238,866.68
  5. Step 5: Solve for x
    x = 1,238,866.68/1,447.97
  6. Step 6: Final answer
    x = 855.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.