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Finding the Fourth Proportional to 709.31, 1,063.97 and 196.31

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Solution

The fourth proportional to 709.31, 1,063.97 and 196.31 is: 294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.31 : 1,063.97 = 196.31 : x
  2. Step 2: Convert to fraction form
    709.31/1,063.97 = 196.31/x
  3. Step 3: Cross multiply
    709.31x = 1,063.97 × 196.31
  4. Step 4: Simplify right side
    709.31x = 208,870.37
  5. Step 5: Solve for x
    x = 208,870.37/709.31
  6. Step 6: Final answer
    x = 294.47

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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.