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Finding the Fourth Proportional to 872.84, 1,204.66 and 523.60

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Solution

The fourth proportional to 872.84, 1,204.66 and 523.60 is: 722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.84 : 1,204.66 = 523.60 : x
  2. Step 2: Convert to fraction form
    872.84/1,204.66 = 523.60/x
  3. Step 3: Cross multiply
    872.84x = 1,204.66 × 523.60
  4. Step 4: Simplify right side
    872.84x = 630,759.98
  5. Step 5: Solve for x
    x = 630,759.98/872.84
  6. Step 6: Final answer
    x = 722.65

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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.