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Finding the Fourth Proportional to 991.46, 1,367.06 and 804.37

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Solution

The fourth proportional to 991.46, 1,367.06 and 804.37 is: 1,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.46 : 1,367.06 = 804.37 : x
  2. Step 2: Convert to fraction form
    991.46/1,367.06 = 804.37/x
  3. Step 3: Cross multiply
    991.46x = 1,367.06 × 804.37
  4. Step 4: Simplify right side
    991.46x = 1,099,620.65
  5. Step 5: Solve for x
    x = 1,099,620.65/991.46
  6. Step 6: Final answer
    x = 1,109.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.