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Finding the Fourth Proportional to 908.39, 1,360.82 and 517.21

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Solution

The fourth proportional to 908.39, 1,360.82 and 517.21 is: 774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.39 : 1,360.82 = 517.21 : x
  2. Step 2: Convert to fraction form
    908.39/1,360.82 = 517.21/x
  3. Step 3: Cross multiply
    908.39x = 1,360.82 × 517.21
  4. Step 4: Simplify right side
    908.39x = 703,829.71
  5. Step 5: Solve for x
    x = 703,829.71/908.39
  6. Step 6: Final answer
    x = 774.81

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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.