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Finding the Fourth Proportional to 1,446.74, 2,170.42 and 472.82

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Solution

The fourth proportional to 1,446.74, 2,170.42 and 472.82 is: 709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.74 : 2,170.42 = 472.82 : x
  2. Step 2: Convert to fraction form
    1,446.74/2,170.42 = 472.82/x
  3. Step 3: Cross multiply
    1,446.74x = 2,170.42 × 472.82
  4. Step 4: Simplify right side
    1,446.74x = 1,026,217.98
  5. Step 5: Solve for x
    x = 1,026,217.98/1,446.74
  6. Step 6: Final answer
    x = 709.33

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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.