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Finding the Fourth Proportional to 893.05, 1,333.46 and 799.90

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Solution

The fourth proportional to 893.05, 1,333.46 and 799.90 is: 1,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.05 : 1,333.46 = 799.90 : x
  2. Step 2: Convert to fraction form
    893.05/1,333.46 = 799.90/x
  3. Step 3: Cross multiply
    893.05x = 1,333.46 × 799.90
  4. Step 4: Simplify right side
    893.05x = 1,066,634.65
  5. Step 5: Solve for x
    x = 1,066,634.65/893.05
  6. Step 6: Final answer
    x = 1,194.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.