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Finding the Fourth Proportional to 1,297.26, 1,946.46 and 680.81

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Solution

The fourth proportional to 1,297.26, 1,946.46 and 680.81 is: 1,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.26 : 1,946.46 = 680.81 : x
  2. Step 2: Convert to fraction form
    1,297.26/1,946.46 = 680.81/x
  3. Step 3: Cross multiply
    1,297.26x = 1,946.46 × 680.81
  4. Step 4: Simplify right side
    1,297.26x = 1,325,166.03
  5. Step 5: Solve for x
    x = 1,325,166.03/1,297.26
  6. Step 6: Final answer
    x = 1,021.52

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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.