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Finding the Fourth Proportional to 943.59, 1,302.17 and 523.96

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Solution

The fourth proportional to 943.59, 1,302.17 and 523.96 is: 723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.59 : 1,302.17 = 523.96 : x
  2. Step 2: Convert to fraction form
    943.59/1,302.17 = 523.96/x
  3. Step 3: Cross multiply
    943.59x = 1,302.17 × 523.96
  4. Step 4: Simplify right side
    943.59x = 682,284.99
  5. Step 5: Solve for x
    x = 682,284.99/943.59
  6. Step 6: Final answer
    x = 723.07

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Why These Related Problems?

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