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Finding the Fourth Proportional to 1,362.78, 1,880.54 and 773.28

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Solution

The fourth proportional to 1,362.78, 1,880.54 and 773.28 is: 1,067.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.78 : 1,880.54 = 773.28 : x
  2. Step 2: Convert to fraction form
    1,362.78/1,880.54 = 773.28/x
  3. Step 3: Cross multiply
    1,362.78x = 1,880.54 × 773.28
  4. Step 4: Simplify right side
    1,362.78x = 1,454,183.97
  5. Step 5: Solve for x
    x = 1,454,183.97/1,362.78
  6. Step 6: Final answer
    x = 1,067.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.