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Finding the Fourth Proportional to 878.59, 1,211.91 and 524.27

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Solution

The fourth proportional to 878.59, 1,211.91 and 524.27 is: 723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.59 : 1,211.91 = 524.27 : x
  2. Step 2: Convert to fraction form
    878.59/1,211.91 = 524.27/x
  3. Step 3: Cross multiply
    878.59x = 1,211.91 × 524.27
  4. Step 4: Simplify right side
    878.59x = 635,371.09
  5. Step 5: Solve for x
    x = 635,371.09/878.59
  6. Step 6: Final answer
    x = 723.17

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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.