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Finding the Fourth Proportional to 943.13, 1,301.48 and 523.50

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Solution

The fourth proportional to 943.13, 1,301.48 and 523.50 is: 722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.13 : 1,301.48 = 523.50 : x
  2. Step 2: Convert to fraction form
    943.13/1,301.48 = 523.50/x
  3. Step 3: Cross multiply
    943.13x = 1,301.48 × 523.50
  4. Step 4: Simplify right side
    943.13x = 681,324.78
  5. Step 5: Solve for x
    x = 681,324.78/943.13
  6. Step 6: Final answer
    x = 722.41

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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.