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Finding the Fourth Proportional to 838.24, 1,157.35 and 523.57

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Solution

The fourth proportional to 838.24, 1,157.35 and 523.57 is: 722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.24 : 1,157.35 = 523.57 : x
  2. Step 2: Convert to fraction form
    838.24/1,157.35 = 523.57/x
  3. Step 3: Cross multiply
    838.24x = 1,157.35 × 523.57
  4. Step 4: Simplify right side
    838.24x = 605,949.54
  5. Step 5: Solve for x
    x = 605,949.54/838.24
  6. Step 6: Final answer
    x = 722.89

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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.