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Finding the Fourth Proportional to 605.82, 909.93 and 519.12

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Solution

The fourth proportional to 605.82, 909.93 and 519.12 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.82 : 909.93 = 519.12 : x
  2. Step 2: Convert to fraction form
    605.82/909.93 = 519.12/x
  3. Step 3: Cross multiply
    605.82x = 909.93 × 519.12
  4. Step 4: Simplify right side
    605.82x = 472,362.86
  5. Step 5: Solve for x
    x = 472,362.86/605.82
  6. Step 6: Final answer
    x = 779.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.