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Finding the Fourth Proportional to 878.05, 1,212.09 and 524.09

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Solution

The fourth proportional to 878.05, 1,212.09 and 524.09 is: 723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.05 : 1,212.09 = 524.09 : x
  2. Step 2: Convert to fraction form
    878.05/1,212.09 = 524.09/x
  3. Step 3: Cross multiply
    878.05x = 1,212.09 × 524.09
  4. Step 4: Simplify right side
    878.05x = 635,244.25
  5. Step 5: Solve for x
    x = 635,244.25/878.05
  6. Step 6: Final answer
    x = 723.48

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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.