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Finding the Fourth Proportional to 943.31, 1,301.71 and 523.64

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Solution

The fourth proportional to 943.31, 1,301.71 and 523.64 is: 722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.31 : 1,301.71 = 523.64 : x
  2. Step 2: Convert to fraction form
    943.31/1,301.71 = 523.64/x
  3. Step 3: Cross multiply
    943.31x = 1,301.71 × 523.64
  4. Step 4: Simplify right side
    943.31x = 681,619.61
  5. Step 5: Solve for x
    x = 681,619.61/943.31
  6. Step 6: Final answer
    x = 722.58

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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.