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Finding the Fourth Proportional to 884.33, 1,220.42 and 605.15

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Solution

The fourth proportional to 884.33, 1,220.42 and 605.15 is: 835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.33 : 1,220.42 = 605.15 : x
  2. Step 2: Convert to fraction form
    884.33/1,220.42 = 605.15/x
  3. Step 3: Cross multiply
    884.33x = 1,220.42 × 605.15
  4. Step 4: Simplify right side
    884.33x = 738,537.19
  5. Step 5: Solve for x
    x = 738,537.19/884.33
  6. Step 6: Final answer
    x = 835.14

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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.