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Finding the Fourth Proportional to 884.93, 1,334.01 and 825.46

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Solution

The fourth proportional to 884.93, 1,334.01 and 825.46 is: 1,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.93 : 1,334.01 = 825.46 : x
  2. Step 2: Convert to fraction form
    884.93/1,334.01 = 825.46/x
  3. Step 3: Cross multiply
    884.93x = 1,334.01 × 825.46
  4. Step 4: Simplify right side
    884.93x = 1,101,168.56
  5. Step 5: Solve for x
    x = 1,101,168.56/884.93
  6. Step 6: Final answer
    x = 1,244.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.