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Finding the Fourth Proportional to 943.04, 1,301.42 and 523.44

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Solution

The fourth proportional to 943.04, 1,301.42 and 523.44 is: 722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.04 : 1,301.42 = 523.44 : x
  2. Step 2: Convert to fraction form
    943.04/1,301.42 = 523.44/x
  3. Step 3: Cross multiply
    943.04x = 1,301.42 × 523.44
  4. Step 4: Simplify right side
    943.04x = 681,215.28
  5. Step 5: Solve for x
    x = 681,215.28/943.04
  6. Step 6: Final answer
    x = 722.36

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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.