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Finding the Fourth Proportional to 605.89, 836.36 and 563.77

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Solution

The fourth proportional to 605.89, 836.36 and 563.77 is: 778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.89 : 836.36 = 563.77 : x
  2. Step 2: Convert to fraction form
    605.89/836.36 = 563.77/x
  3. Step 3: Cross multiply
    605.89x = 836.36 × 563.77
  4. Step 4: Simplify right side
    605.89x = 471,514.68
  5. Step 5: Solve for x
    x = 471,514.68/605.89
  6. Step 6: Final answer
    x = 778.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.