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Finding the Fourth Proportional to 878.43, 1,211.83 and 524.16

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Solution

The fourth proportional to 878.43, 1,211.83 and 524.16 is: 723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.43 : 1,211.83 = 524.16 : x
  2. Step 2: Convert to fraction form
    878.43/1,211.83 = 524.16/x
  3. Step 3: Cross multiply
    878.43x = 1,211.83 × 524.16
  4. Step 4: Simplify right side
    878.43x = 635,184.13
  5. Step 5: Solve for x
    x = 635,184.13/878.43
  6. Step 6: Final answer
    x = 723.09

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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.