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Finding the Fourth Proportional to 1,447.70, 2,170.94 and 570.06

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Solution

The fourth proportional to 1,447.70, 2,170.94 and 570.06 is: 854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.70 : 2,170.94 = 570.06 : x
  2. Step 2: Convert to fraction form
    1,447.70/2,170.94 = 570.06/x
  3. Step 3: Cross multiply
    1,447.70x = 2,170.94 × 570.06
  4. Step 4: Simplify right side
    1,447.70x = 1,237,563.21
  5. Step 5: Solve for x
    x = 1,237,563.21/1,447.70
  6. Step 6: Final answer
    x = 854.85

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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.