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Finding the Fourth Proportional to 1,297.48, 1,944.87 and 517.27

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Solution

The fourth proportional to 1,297.48, 1,944.87 and 517.27 is: 775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.48 : 1,944.87 = 517.27 : x
  2. Step 2: Convert to fraction form
    1,297.48/1,944.87 = 517.27/x
  3. Step 3: Cross multiply
    1,297.48x = 1,944.87 × 517.27
  4. Step 4: Simplify right side
    1,297.48x = 1,006,022.90
  5. Step 5: Solve for x
    x = 1,006,022.90/1,297.48
  6. Step 6: Final answer
    x = 775.37

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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.