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Finding the Fourth Proportional to 1,090.21, 1,504.82 and 741.10

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Solution

The fourth proportional to 1,090.21, 1,504.82 and 741.10 is: 1,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.21 : 1,504.82 = 741.10 : x
  2. Step 2: Convert to fraction form
    1,090.21/1,504.82 = 741.10/x
  3. Step 3: Cross multiply
    1,090.21x = 1,504.82 × 741.10
  4. Step 4: Simplify right side
    1,090.21x = 1,115,222.10
  5. Step 5: Solve for x
    x = 1,115,222.10/1,090.21
  6. Step 6: Final answer
    x = 1,022.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.