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Finding the Fourth Proportional to 878.58, 1,213.38 and 547.80

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Solution

The fourth proportional to 878.58, 1,213.38 and 547.80 is: 756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.58 : 1,213.38 = 547.80 : x
  2. Step 2: Convert to fraction form
    878.58/1,213.38 = 547.80/x
  3. Step 3: Cross multiply
    878.58x = 1,213.38 × 547.80
  4. Step 4: Simplify right side
    878.58x = 664,689.56
  5. Step 5: Solve for x
    x = 664,689.56/878.58
  6. Step 6: Final answer
    x = 756.55

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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.