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Finding the Fourth Proportional to 1,297.11, 1,944.64 and 748.68

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Solution

The fourth proportional to 1,297.11, 1,944.64 and 748.68 is: 1,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.11 : 1,944.64 = 748.68 : x
  2. Step 2: Convert to fraction form
    1,297.11/1,944.64 = 748.68/x
  3. Step 3: Cross multiply
    1,297.11x = 1,944.64 × 748.68
  4. Step 4: Simplify right side
    1,297.11x = 1,455,906.72
  5. Step 5: Solve for x
    x = 1,455,906.72/1,297.11
  6. Step 6: Final answer
    x = 1,122.42

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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.