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Finding the Fourth Proportional to 878.62, 1,212.27 and 505.72

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Solution

The fourth proportional to 878.62, 1,212.27 and 505.72 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.62 : 1,212.27 = 505.72 : x
  2. Step 2: Convert to fraction form
    878.62/1,212.27 = 505.72/x
  3. Step 3: Cross multiply
    878.62x = 1,212.27 × 505.72
  4. Step 4: Simplify right side
    878.62x = 613,069.18
  5. Step 5: Solve for x
    x = 613,069.18/878.62
  6. Step 6: Final answer
    x = 697.76

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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.