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Finding the Fourth Proportional to 893.68, 1,343.74 and 822.40

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Solution

The fourth proportional to 893.68, 1,343.74 and 822.40 is: 1,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.68 : 1,343.74 = 822.40 : x
  2. Step 2: Convert to fraction form
    893.68/1,343.74 = 822.40/x
  3. Step 3: Cross multiply
    893.68x = 1,343.74 × 822.40
  4. Step 4: Simplify right side
    893.68x = 1,105,091.78
  5. Step 5: Solve for x
    x = 1,105,091.78/893.68
  6. Step 6: Final answer
    x = 1,236.56

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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.