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Finding the Fourth Proportional to 1,450.58, 2,175.41 and 834.57

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Solution

The fourth proportional to 1,450.58, 2,175.41 and 834.57 is: 1,251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.58 : 2,175.41 = 834.57 : x
  2. Step 2: Convert to fraction form
    1,450.58/2,175.41 = 834.57/x
  3. Step 3: Cross multiply
    1,450.58x = 2,175.41 × 834.57
  4. Step 4: Simplify right side
    1,450.58x = 1,815,529.32
  5. Step 5: Solve for x
    x = 1,815,529.32/1,450.58
  6. Step 6: Final answer
    x = 1,251.59

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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.