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Finding the Fourth Proportional to 716.65, 1,074.97 and 196.70

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Solution

The fourth proportional to 716.65, 1,074.97 and 196.70 is: 295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.65 : 1,074.97 = 196.70 : x
  2. Step 2: Convert to fraction form
    716.65/1,074.97 = 196.70/x
  3. Step 3: Cross multiply
    716.65x = 1,074.97 × 196.70
  4. Step 4: Simplify right side
    716.65x = 211,441.47
  5. Step 5: Solve for x
    x = 211,441.47/716.65
  6. Step 6: Final answer
    x = 295.04

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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.