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Finding the Fourth Proportional to 653.69, 980.69 and 191.47

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Solution

The fourth proportional to 653.69, 980.69 and 191.47 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.69 : 980.69 = 191.47 : x
  2. Step 2: Convert to fraction form
    653.69/980.69 = 191.47/x
  3. Step 3: Cross multiply
    653.69x = 980.69 × 191.47
  4. Step 4: Simplify right side
    653.69x = 187,772.98
  5. Step 5: Solve for x
    x = 187,772.98/653.69
  6. Step 6: Final answer
    x = 287.25

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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.