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Finding the Fourth Proportional to 1,100.00, 1,646.66 and 636.48

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Solution

The fourth proportional to 1,100.00, 1,646.66 and 636.48 is: 952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.00 : 1,646.66 = 636.48 : x
  2. Step 2: Convert to fraction form
    1,100.00/1,646.66 = 636.48/x
  3. Step 3: Cross multiply
    1,100.00x = 1,646.66 × 636.48
  4. Step 4: Simplify right side
    1,100.00x = 1,048,067.75
  5. Step 5: Solve for x
    x = 1,048,067.75/1,100.00
  6. Step 6: Final answer
    x = 952.79

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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.