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Finding the Fourth Proportional to 1,090.04, 1,635.02 and 268.28

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Solution

The fourth proportional to 1,090.04, 1,635.02 and 268.28 is: 402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.04 : 1,635.02 = 268.28 : x
  2. Step 2: Convert to fraction form
    1,090.04/1,635.02 = 268.28/x
  3. Step 3: Cross multiply
    1,090.04x = 1,635.02 × 268.28
  4. Step 4: Simplify right side
    1,090.04x = 438,643.17
  5. Step 5: Solve for x
    x = 438,643.17/1,090.04
  6. Step 6: Final answer
    x = 402.41

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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.