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Finding the Fourth Proportional to 1,090.56, 1,628.12 and 926.58

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Solution

The fourth proportional to 1,090.56, 1,628.12 and 926.58 is: 1,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.56 : 1,628.12 = 926.58 : x
  2. Step 2: Convert to fraction form
    1,090.56/1,628.12 = 926.58/x
  3. Step 3: Cross multiply
    1,090.56x = 1,628.12 × 926.58
  4. Step 4: Simplify right side
    1,090.56x = 1,508,578.80
  5. Step 5: Solve for x
    x = 1,508,578.80/1,090.56
  6. Step 6: Final answer
    x = 1,383.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.