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Finding the Fourth Proportional to 709.74, 1,064.61 and 196.74

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Solution

The fourth proportional to 709.74, 1,064.61 and 196.74 is: 295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 1,064.61 = 196.74 : x
  2. Step 2: Convert to fraction form
    709.74/1,064.61 = 196.74/x
  3. Step 3: Cross multiply
    709.74x = 1,064.61 × 196.74
  4. Step 4: Simplify right side
    709.74x = 209,451.37
  5. Step 5: Solve for x
    x = 209,451.37/709.74
  6. Step 6: Final answer
    x = 295.11

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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.