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Finding the Fourth Proportional to 893.60, 1,343.49 and 825.95

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Solution

The fourth proportional to 893.60, 1,343.49 and 825.95 is: 1,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.60 : 1,343.49 = 825.95 : x
  2. Step 2: Convert to fraction form
    893.60/1,343.49 = 825.95/x
  3. Step 3: Cross multiply
    893.60x = 1,343.49 × 825.95
  4. Step 4: Simplify right side
    893.60x = 1,109,648.27
  5. Step 5: Solve for x
    x = 1,109,648.27/893.60
  6. Step 6: Final answer
    x = 1,241.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.