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Finding the Fourth Proportional to 1,238.81, 1,706.72 and 1,180.49

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Solution

The fourth proportional to 1,238.81, 1,706.72 and 1,180.49 is: 1,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.81 : 1,706.72 = 1,180.49 : x
  2. Step 2: Convert to fraction form
    1,238.81/1,706.72 = 1,180.49/x
  3. Step 3: Cross multiply
    1,238.81x = 1,706.72 × 1,180.49
  4. Step 4: Simplify right side
    1,238.81x = 2,014,764.26
  5. Step 5: Solve for x
    x = 2,014,764.26/1,238.81
  6. Step 6: Final answer
    x = 1,626.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.