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Finding the Fourth Proportional to 884.69, 1,220.87 and 623.26

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Solution

The fourth proportional to 884.69, 1,220.87 and 623.26 is: 860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.69 : 1,220.87 = 623.26 : x
  2. Step 2: Convert to fraction form
    884.69/1,220.87 = 623.26/x
  3. Step 3: Cross multiply
    884.69x = 1,220.87 × 623.26
  4. Step 4: Simplify right side
    884.69x = 760,919.44
  5. Step 5: Solve for x
    x = 760,919.44/884.69
  6. Step 6: Final answer
    x = 860.10

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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.