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Finding the Fourth Proportional to 933.03, 1,286.70 and 613.44

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Solution

The fourth proportional to 933.03, 1,286.70 and 613.44 is: 845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.03 : 1,286.70 = 613.44 : x
  2. Step 2: Convert to fraction form
    933.03/1,286.70 = 613.44/x
  3. Step 3: Cross multiply
    933.03x = 1,286.70 × 613.44
  4. Step 4: Simplify right side
    933.03x = 789,313.25
  5. Step 5: Solve for x
    x = 789,313.25/933.03
  6. Step 6: Final answer
    x = 845.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.