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Finding the Fourth Proportional to 1,450.20, 2,175.46 and 475.94

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Solution

The fourth proportional to 1,450.20, 2,175.46 and 475.94 is: 713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.20 : 2,175.46 = 475.94 : x
  2. Step 2: Convert to fraction form
    1,450.20/2,175.46 = 475.94/x
  3. Step 3: Cross multiply
    1,450.20x = 2,175.46 × 475.94
  4. Step 4: Simplify right side
    1,450.20x = 1,035,388.43
  5. Step 5: Solve for x
    x = 1,035,388.43/1,450.20
  6. Step 6: Final answer
    x = 713.96

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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.