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Finding the Fourth Proportional to 872.94, 1,204.56 and 523.56

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Solution

The fourth proportional to 872.94, 1,204.56 and 523.56 is: 722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.94 : 1,204.56 = 523.56 : x
  2. Step 2: Convert to fraction form
    872.94/1,204.56 = 523.56/x
  3. Step 3: Cross multiply
    872.94x = 1,204.56 × 523.56
  4. Step 4: Simplify right side
    872.94x = 630,659.43
  5. Step 5: Solve for x
    x = 630,659.43/872.94
  6. Step 6: Final answer
    x = 722.45

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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.