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Finding the Fourth Proportional to 893.17, 1,337.72 and 825.74

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Solution

The fourth proportional to 893.17, 1,337.72 and 825.74 is: 1,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.17 : 1,337.72 = 825.74 : x
  2. Step 2: Convert to fraction form
    893.17/1,337.72 = 825.74/x
  3. Step 3: Cross multiply
    893.17x = 1,337.72 × 825.74
  4. Step 4: Simplify right side
    893.17x = 1,104,604.29
  5. Step 5: Solve for x
    x = 1,104,604.29/893.17
  6. Step 6: Final answer
    x = 1,236.73

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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.