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Finding the Fourth Proportional to 1,090.01, 1,635.24 and 360.10

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Solution

The fourth proportional to 1,090.01, 1,635.24 and 360.10 is: 540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.01 : 1,635.24 = 360.10 : x
  2. Step 2: Convert to fraction form
    1,090.01/1,635.24 = 360.10/x
  3. Step 3: Cross multiply
    1,090.01x = 1,635.24 × 360.10
  4. Step 4: Simplify right side
    1,090.01x = 588,842.09
  5. Step 5: Solve for x
    x = 588,842.09/1,090.01
  6. Step 6: Final answer
    x = 540.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.