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Finding the Fourth Proportional to 1,090.11, 1,633.82 and 796.89

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Solution

The fourth proportional to 1,090.11, 1,633.82 and 796.89 is: 1,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.11 : 1,633.82 = 796.89 : x
  2. Step 2: Convert to fraction form
    1,090.11/1,633.82 = 796.89/x
  3. Step 3: Cross multiply
    1,090.11x = 1,633.82 × 796.89
  4. Step 4: Simplify right side
    1,090.11x = 1,301,970.84
  5. Step 5: Solve for x
    x = 1,301,970.84/1,090.11
  6. Step 6: Final answer
    x = 1,194.35

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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.