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Finding the Fourth Proportional to 1,410.22, 1,946.22 and 850.69

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Solution

The fourth proportional to 1,410.22, 1,946.22 and 850.69 is: 1,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.22 : 1,946.22 = 850.69 : x
  2. Step 2: Convert to fraction form
    1,410.22/1,946.22 = 850.69/x
  3. Step 3: Cross multiply
    1,410.22x = 1,946.22 × 850.69
  4. Step 4: Simplify right side
    1,410.22x = 1,655,629.89
  5. Step 5: Solve for x
    x = 1,655,629.89/1,410.22
  6. Step 6: Final answer
    x = 1,174.02

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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.