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Finding the Fourth Proportional to 878.12, 1,206.09 and 823.91

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Solution

The fourth proportional to 878.12, 1,206.09 and 823.91 is: 1,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.12 : 1,206.09 = 823.91 : x
  2. Step 2: Convert to fraction form
    878.12/1,206.09 = 823.91/x
  3. Step 3: Cross multiply
    878.12x = 1,206.09 × 823.91
  4. Step 4: Simplify right side
    878.12x = 993,703.58
  5. Step 5: Solve for x
    x = 993,703.58/878.12
  6. Step 6: Final answer
    x = 1,131.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.