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Finding the Fourth Proportional to 878.97, 1,212.98 and 524.96

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Solution

The fourth proportional to 878.97, 1,212.98 and 524.96 is: 724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.97 : 1,212.98 = 524.96 : x
  2. Step 2: Convert to fraction form
    878.97/1,212.98 = 524.96/x
  3. Step 3: Cross multiply
    878.97x = 1,212.98 × 524.96
  4. Step 4: Simplify right side
    878.97x = 636,757.29
  5. Step 5: Solve for x
    x = 636,757.29/878.97
  6. Step 6: Final answer
    x = 724.44

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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.