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Finding the Fourth Proportional to 933.84, 1,399.95 and 446.22

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Solution

The fourth proportional to 933.84, 1,399.95 and 446.22 is: 668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.84 : 1,399.95 = 446.22 : x
  2. Step 2: Convert to fraction form
    933.84/1,399.95 = 446.22/x
  3. Step 3: Cross multiply
    933.84x = 1,399.95 × 446.22
  4. Step 4: Simplify right side
    933.84x = 624,685.69
  5. Step 5: Solve for x
    x = 624,685.69/933.84
  6. Step 6: Final answer
    x = 668.94

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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.