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Finding the Fourth Proportional to 1,322.95, 1,825.41 and 798.97

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Solution

The fourth proportional to 1,322.95, 1,825.41 and 798.97 is: 1,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.95 : 1,825.41 = 798.97 : x
  2. Step 2: Convert to fraction form
    1,322.95/1,825.41 = 798.97/x
  3. Step 3: Cross multiply
    1,322.95x = 1,825.41 × 798.97
  4. Step 4: Simplify right side
    1,322.95x = 1,458,447.83
  5. Step 5: Solve for x
    x = 1,458,447.83/1,322.95
  6. Step 6: Final answer
    x = 1,102.42

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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.