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Finding the Fourth Proportional to 606.98, 836.25 and 565.94

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Solution

The fourth proportional to 606.98, 836.25 and 565.94 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.98 : 836.25 = 565.94 : x
  2. Step 2: Convert to fraction form
    606.98/836.25 = 565.94/x
  3. Step 3: Cross multiply
    606.98x = 836.25 × 565.94
  4. Step 4: Simplify right side
    606.98x = 473,267.33
  5. Step 5: Solve for x
    x = 473,267.33/606.98
  6. Step 6: Final answer
    x = 779.71

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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.