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Finding the Fourth Proportional to 605.80, 905.82 and 566.92

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Solution

The fourth proportional to 605.80, 905.82 and 566.92 is: 847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.80 : 905.82 = 566.92 : x
  2. Step 2: Convert to fraction form
    605.80/905.82 = 566.92/x
  3. Step 3: Cross multiply
    605.80x = 905.82 × 566.92
  4. Step 4: Simplify right side
    605.80x = 513,527.47
  5. Step 5: Solve for x
    x = 513,527.47/605.80
  6. Step 6: Final answer
    x = 847.68

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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.