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Finding the Fourth Proportional to 943.21, 1,301.70 and 523.66

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Solution

The fourth proportional to 943.21, 1,301.70 and 523.66 is: 722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.21 : 1,301.70 = 523.66 : x
  2. Step 2: Convert to fraction form
    943.21/1,301.70 = 523.66/x
  3. Step 3: Cross multiply
    943.21x = 1,301.70 × 523.66
  4. Step 4: Simplify right side
    943.21x = 681,648.22
  5. Step 5: Solve for x
    x = 681,648.22/943.21
  6. Step 6: Final answer
    x = 722.69

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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.