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Finding the Fourth Proportional to 1,238.74, 1,709.48 and 679.22

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Solution

The fourth proportional to 1,238.74, 1,709.48 and 679.22 is: 937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.74 : 1,709.48 = 679.22 : x
  2. Step 2: Convert to fraction form
    1,238.74/1,709.48 = 679.22/x
  3. Step 3: Cross multiply
    1,238.74x = 1,709.48 × 679.22
  4. Step 4: Simplify right side
    1,238.74x = 1,161,122.18
  5. Step 5: Solve for x
    x = 1,161,122.18/1,238.74
  6. Step 6: Final answer
    x = 937.34

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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.