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Finding the Fourth Proportional to 1,238.95, 1,709.73 and 679.42

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Solution

The fourth proportional to 1,238.95, 1,709.73 and 679.42 is: 937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.95 : 1,709.73 = 679.42 : x
  2. Step 2: Convert to fraction form
    1,238.95/1,709.73 = 679.42/x
  3. Step 3: Cross multiply
    1,238.95x = 1,709.73 × 679.42
  4. Step 4: Simplify right side
    1,238.95x = 1,161,621.36
  5. Step 5: Solve for x
    x = 1,161,621.36/1,238.95
  6. Step 6: Final answer
    x = 937.59

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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.