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Finding the Fourth Proportional to 604.69, 905.95 and 517.14

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Solution

The fourth proportional to 604.69, 905.95 and 517.14 is: 774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.69 : 905.95 = 517.14 : x
  2. Step 2: Convert to fraction form
    604.69/905.95 = 517.14/x
  3. Step 3: Cross multiply
    604.69x = 905.95 × 517.14
  4. Step 4: Simplify right side
    604.69x = 468,502.98
  5. Step 5: Solve for x
    x = 468,502.98/604.69
  6. Step 6: Final answer
    x = 774.78

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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.