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Finding the Fourth Proportional to 1,090.25, 1,635.37 and 268.51

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Solution

The fourth proportional to 1,090.25, 1,635.37 and 268.51 is: 402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.25 : 1,635.37 = 268.51 : x
  2. Step 2: Convert to fraction form
    1,090.25/1,635.37 = 268.51/x
  3. Step 3: Cross multiply
    1,090.25x = 1,635.37 × 268.51
  4. Step 4: Simplify right side
    1,090.25x = 439,113.20
  5. Step 5: Solve for x
    x = 439,113.20/1,090.25
  6. Step 6: Final answer
    x = 402.76

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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.