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Finding the Fourth Proportional to 609.69, 916.38 and 536.79

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Solution

The fourth proportional to 609.69, 916.38 and 536.79 is: 806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.69 : 916.38 = 536.79 : x
  2. Step 2: Convert to fraction form
    609.69/916.38 = 536.79/x
  3. Step 3: Cross multiply
    609.69x = 916.38 × 536.79
  4. Step 4: Simplify right side
    609.69x = 491,903.62
  5. Step 5: Solve for x
    x = 491,903.62/609.69
  6. Step 6: Final answer
    x = 806.81

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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.