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Finding the Fourth Proportional to 709.40, 1,063.98 and 196.40

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Solution

The fourth proportional to 709.40, 1,063.98 and 196.40 is: 294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.40 : 1,063.98 = 196.40 : x
  2. Step 2: Convert to fraction form
    709.40/1,063.98 = 196.40/x
  3. Step 3: Cross multiply
    709.40x = 1,063.98 × 196.40
  4. Step 4: Simplify right side
    709.40x = 208,965.67
  5. Step 5: Solve for x
    x = 208,965.67/709.40
  6. Step 6: Final answer
    x = 294.57

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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.