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Finding the Fourth Proportional to 943.63, 1,302.21 and 523.97

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Solution

The fourth proportional to 943.63, 1,302.21 and 523.97 is: 723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.63 : 1,302.21 = 523.97 : x
  2. Step 2: Convert to fraction form
    943.63/1,302.21 = 523.97/x
  3. Step 3: Cross multiply
    943.63x = 1,302.21 × 523.97
  4. Step 4: Simplify right side
    943.63x = 682,318.97
  5. Step 5: Solve for x
    x = 682,318.97/943.63
  6. Step 6: Final answer
    x = 723.08

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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.