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Finding the Fourth Proportional to 653.72, 980.33 and 191.34

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Solution

The fourth proportional to 653.72, 980.33 and 191.34 is: 286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.72 : 980.33 = 191.34 : x
  2. Step 2: Convert to fraction form
    653.72/980.33 = 191.34/x
  3. Step 3: Cross multiply
    653.72x = 980.33 × 191.34
  4. Step 4: Simplify right side
    653.72x = 187,575.39
  5. Step 5: Solve for x
    x = 187,575.39/653.72
  6. Step 6: Final answer
    x = 286.94

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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.