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Finding the Fourth Proportional to 1,238.75, 1,709.46 and 679.22

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Solution

The fourth proportional to 1,238.75, 1,709.46 and 679.22 is: 937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.75 : 1,709.46 = 679.22 : x
  2. Step 2: Convert to fraction form
    1,238.75/1,709.46 = 679.22/x
  3. Step 3: Cross multiply
    1,238.75x = 1,709.46 × 679.22
  4. Step 4: Simplify right side
    1,238.75x = 1,161,098.71
  5. Step 5: Solve for x
    x = 1,161,098.71/1,238.75
  6. Step 6: Final answer
    x = 937.31

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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.