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Finding the Fourth Proportional to 709.75, 1,064.69 and 196.75

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Solution

The fourth proportional to 709.75, 1,064.69 and 196.75 is: 295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.75 : 1,064.69 = 196.75 : x
  2. Step 2: Convert to fraction form
    709.75/1,064.69 = 196.75/x
  3. Step 3: Cross multiply
    709.75x = 1,064.69 × 196.75
  4. Step 4: Simplify right side
    709.75x = 209,477.76
  5. Step 5: Solve for x
    x = 209,477.76/709.75
  6. Step 6: Final answer
    x = 295.14

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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.