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Finding the Fourth Proportional to 943.37, 1,301.83 and 523.69

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Solution

The fourth proportional to 943.37, 1,301.83 and 523.69 is: 722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.37 : 1,301.83 = 523.69 : x
  2. Step 2: Convert to fraction form
    943.37/1,301.83 = 523.69/x
  3. Step 3: Cross multiply
    943.37x = 1,301.83 × 523.69
  4. Step 4: Simplify right side
    943.37x = 681,755.35
  5. Step 5: Solve for x
    x = 681,755.35/943.37
  6. Step 6: Final answer
    x = 722.68

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1.5x scale

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.