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Finding the Fourth Proportional to 1,090.76, 1,634.51 and 724.23

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Solution

The fourth proportional to 1,090.76, 1,634.51 and 724.23 is: 1,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.76 : 1,634.51 = 724.23 : x
  2. Step 2: Convert to fraction form
    1,090.76/1,634.51 = 724.23/x
  3. Step 3: Cross multiply
    1,090.76x = 1,634.51 × 724.23
  4. Step 4: Simplify right side
    1,090.76x = 1,183,757.56
  5. Step 5: Solve for x
    x = 1,183,757.56/1,090.76
  6. Step 6: Final answer
    x = 1,085.26

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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.