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Finding the Fourth Proportional to 1,090.56, 1,635.80 and 908.08

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Solution

The fourth proportional to 1,090.56, 1,635.80 and 908.08 is: 1,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.56 : 1,635.80 = 908.08 : x
  2. Step 2: Convert to fraction form
    1,090.56/1,635.80 = 908.08/x
  3. Step 3: Cross multiply
    1,090.56x = 1,635.80 × 908.08
  4. Step 4: Simplify right side
    1,090.56x = 1,485,437.26
  5. Step 5: Solve for x
    x = 1,485,437.26/1,090.56
  6. Step 6: Final answer
    x = 1,362.09

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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.