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Finding the Fourth Proportional to 943.18, 1,301.45 and 523.51

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Solution

The fourth proportional to 943.18, 1,301.45 and 523.51 is: 722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.18 : 1,301.45 = 523.51 : x
  2. Step 2: Convert to fraction form
    943.18/1,301.45 = 523.51/x
  3. Step 3: Cross multiply
    943.18x = 1,301.45 × 523.51
  4. Step 4: Simplify right side
    943.18x = 681,322.09
  5. Step 5: Solve for x
    x = 681,322.09/943.18
  6. Step 6: Final answer
    x = 722.37

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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.