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Finding the Fourth Proportional to 1,199.56, 1,796.54 and 923.46

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Solution

The fourth proportional to 1,199.56, 1,796.54 and 923.46 is: 1,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.56 : 1,796.54 = 923.46 : x
  2. Step 2: Convert to fraction form
    1,199.56/1,796.54 = 923.46/x
  3. Step 3: Cross multiply
    1,199.56x = 1,796.54 × 923.46
  4. Step 4: Simplify right side
    1,199.56x = 1,659,032.83
  5. Step 5: Solve for x
    x = 1,659,032.83/1,199.56
  6. Step 6: Final answer
    x = 1,383.03

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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.