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Finding the Fourth Proportional to 1,297.89, 1,945.68 and 475.97

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Solution

The fourth proportional to 1,297.89, 1,945.68 and 475.97 is: 713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.89 : 1,945.68 = 475.97 : x
  2. Step 2: Convert to fraction form
    1,297.89/1,945.68 = 475.97/x
  3. Step 3: Cross multiply
    1,297.89x = 1,945.68 × 475.97
  4. Step 4: Simplify right side
    1,297.89x = 926,093.82
  5. Step 5: Solve for x
    x = 926,093.82/1,297.89
  6. Step 6: Final answer
    x = 713.54

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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.