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Finding the Fourth Proportional to 921.86, 1,272.07 and 523.54

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Solution

The fourth proportional to 921.86, 1,272.07 and 523.54 is: 722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.86 : 1,272.07 = 523.54 : x
  2. Step 2: Convert to fraction form
    921.86/1,272.07 = 523.54/x
  3. Step 3: Cross multiply
    921.86x = 1,272.07 × 523.54
  4. Step 4: Simplify right side
    921.86x = 665,979.53
  5. Step 5: Solve for x
    x = 665,979.53/921.86
  6. Step 6: Final answer
    x = 722.43

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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.