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Finding the Fourth Proportional to 655.38, 980.91 and 491.94

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Solution

The fourth proportional to 655.38, 980.91 and 491.94 is: 736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.38 : 980.91 = 491.94 : x
  2. Step 2: Convert to fraction form
    655.38/980.91 = 491.94/x
  3. Step 3: Cross multiply
    655.38x = 980.91 × 491.94
  4. Step 4: Simplify right side
    655.38x = 482,548.87
  5. Step 5: Solve for x
    x = 482,548.87/655.38
  6. Step 6: Final answer
    x = 736.29

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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.