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Finding the Fourth Proportional to 1,322.73, 1,825.74 and 798.66

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Solution

The fourth proportional to 1,322.73, 1,825.74 and 798.66 is: 1,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.73 : 1,825.74 = 798.66 : x
  2. Step 2: Convert to fraction form
    1,322.73/1,825.74 = 798.66/x
  3. Step 3: Cross multiply
    1,322.73x = 1,825.74 × 798.66
  4. Step 4: Simplify right side
    1,322.73x = 1,458,145.51
  5. Step 5: Solve for x
    x = 1,458,145.51/1,322.73
  6. Step 6: Final answer
    x = 1,102.38

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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.