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Finding the Fourth Proportional to 943.24, 1,301.64 and 523.58

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Solution

The fourth proportional to 943.24, 1,301.64 and 523.58 is: 722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.24 : 1,301.64 = 523.58 : x
  2. Step 2: Convert to fraction form
    943.24/1,301.64 = 523.58/x
  3. Step 3: Cross multiply
    943.24x = 1,301.64 × 523.58
  4. Step 4: Simplify right side
    943.24x = 681,512.67
  5. Step 5: Solve for x
    x = 681,512.67/943.24
  6. Step 6: Final answer
    x = 722.52

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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.