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Finding the Fourth Proportional to 1,090.44, 1,633.38 and 816.17

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Solution

The fourth proportional to 1,090.44, 1,633.38 and 816.17 is: 1,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.44 : 1,633.38 = 816.17 : x
  2. Step 2: Convert to fraction form
    1,090.44/1,633.38 = 816.17/x
  3. Step 3: Cross multiply
    1,090.44x = 1,633.38 × 816.17
  4. Step 4: Simplify right side
    1,090.44x = 1,333,107.59
  5. Step 5: Solve for x
    x = 1,333,107.59/1,090.44
  6. Step 6: Final answer
    x = 1,222.54

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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.