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Finding the Fourth Proportional to 1,099.23, 1,647.29 and 825.00

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Solution

The fourth proportional to 1,099.23, 1,647.29 and 825.00 is: 1,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.23 : 1,647.29 = 825.00 : x
  2. Step 2: Convert to fraction form
    1,099.23/1,647.29 = 825.00/x
  3. Step 3: Cross multiply
    1,099.23x = 1,647.29 × 825.00
  4. Step 4: Simplify right side
    1,099.23x = 1,359,007.81
  5. Step 5: Solve for x
    x = 1,359,007.81/1,099.23
  6. Step 6: Final answer
    x = 1,236.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.