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Finding the Fourth Proportional to 922.54, 1,383.54 and 273.19

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Solution

The fourth proportional to 922.54, 1,383.54 and 273.19 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.54 : 1,383.54 = 273.19 : x
  2. Step 2: Convert to fraction form
    922.54/1,383.54 = 273.19/x
  3. Step 3: Cross multiply
    922.54x = 1,383.54 × 273.19
  4. Step 4: Simplify right side
    922.54x = 377,969.29
  5. Step 5: Solve for x
    x = 377,969.29/922.54
  6. Step 6: Final answer
    x = 409.71

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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.