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Finding the Fourth Proportional to 1,447.11, 2,171.30 and 569.88

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Solution

The fourth proportional to 1,447.11, 2,171.30 and 569.88 is: 855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.11 : 2,171.30 = 569.88 : x
  2. Step 2: Convert to fraction form
    1,447.11/2,171.30 = 569.88/x
  3. Step 3: Cross multiply
    1,447.11x = 2,171.30 × 569.88
  4. Step 4: Simplify right side
    1,447.11x = 1,237,377.59
  5. Step 5: Solve for x
    x = 1,237,377.59/1,447.11
  6. Step 6: Final answer
    x = 855.07

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