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Finding the Fourth Proportional to 1,003.22, 1,504.81 and 828.26

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Solution

The fourth proportional to 1,003.22, 1,504.81 and 828.26 is: 1,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.22 : 1,504.81 = 828.26 : x
  2. Step 2: Convert to fraction form
    1,003.22/1,504.81 = 828.26/x
  3. Step 3: Cross multiply
    1,003.22x = 1,504.81 × 828.26
  4. Step 4: Simplify right side
    1,003.22x = 1,246,373.08
  5. Step 5: Solve for x
    x = 1,246,373.08/1,003.22
  6. Step 6: Final answer
    x = 1,242.37

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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.