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Finding the Fourth Proportional to 878.49, 1,212.57 and 702.68

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Solution

The fourth proportional to 878.49, 1,212.57 and 702.68 is: 969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.49 : 1,212.57 = 702.68 : x
  2. Step 2: Convert to fraction form
    878.49/1,212.57 = 702.68/x
  3. Step 3: Cross multiply
    878.49x = 1,212.57 × 702.68
  4. Step 4: Simplify right side
    878.49x = 852,042.62
  5. Step 5: Solve for x
    x = 852,042.62/878.49
  6. Step 6: Final answer
    x = 969.89

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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.