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Finding the Fourth Proportional to 1,297.44, 1,944.11 and 680.53

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Solution

The fourth proportional to 1,297.44, 1,944.11 and 680.53 is: 1,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.44 : 1,944.11 = 680.53 : x
  2. Step 2: Convert to fraction form
    1,297.44/1,944.11 = 680.53/x
  3. Step 3: Cross multiply
    1,297.44x = 1,944.11 × 680.53
  4. Step 4: Simplify right side
    1,297.44x = 1,323,018.28
  5. Step 5: Solve for x
    x = 1,323,018.28/1,297.44
  6. Step 6: Final answer
    x = 1,019.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.