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Finding the Fourth Proportional to 872.02, 1,204.38 and 591.78

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Solution

The fourth proportional to 872.02, 1,204.38 and 591.78 is: 817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.02 : 1,204.38 = 591.78 : x
  2. Step 2: Convert to fraction form
    872.02/1,204.38 = 591.78/x
  3. Step 3: Cross multiply
    872.02x = 1,204.38 × 591.78
  4. Step 4: Simplify right side
    872.02x = 712,729.96
  5. Step 5: Solve for x
    x = 712,729.96/872.02
  6. Step 6: Final answer
    x = 817.34

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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.