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Finding the Fourth Proportional to 933.06, 1,286.76 and 722.90

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Solution

The fourth proportional to 933.06, 1,286.76 and 722.90 is: 996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.06 : 1,286.76 = 722.90 : x
  2. Step 2: Convert to fraction form
    933.06/1,286.76 = 722.90/x
  3. Step 3: Cross multiply
    933.06x = 1,286.76 × 722.90
  4. Step 4: Simplify right side
    933.06x = 930,198.80
  5. Step 5: Solve for x
    x = 930,198.80/933.06
  6. Step 6: Final answer
    x = 996.93

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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.