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Finding the Fourth Proportional to 1,297.76, 1,945.94 and 679.94

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Solution

The fourth proportional to 1,297.76, 1,945.94 and 679.94 is: 1,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.76 : 1,945.94 = 679.94 : x
  2. Step 2: Convert to fraction form
    1,297.76/1,945.94 = 679.94/x
  3. Step 3: Cross multiply
    1,297.76x = 1,945.94 × 679.94
  4. Step 4: Simplify right side
    1,297.76x = 1,323,122.44
  5. Step 5: Solve for x
    x = 1,323,122.44/1,297.76
  6. Step 6: Final answer
    x = 1,019.54

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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.