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Finding the Fourth Proportional to 943.50, 1,302.05 and 523.83

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Solution

The fourth proportional to 943.50, 1,302.05 and 523.83 is: 722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.50 : 1,302.05 = 523.83 : x
  2. Step 2: Convert to fraction form
    943.50/1,302.05 = 523.83/x
  3. Step 3: Cross multiply
    943.50x = 1,302.05 × 523.83
  4. Step 4: Simplify right side
    943.50x = 682,052.85
  5. Step 5: Solve for x
    x = 682,052.85/943.50
  6. Step 6: Final answer
    x = 722.90

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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.