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Finding the Fourth Proportional to 1,322, 1,983.32 and 397.54

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Solution

The fourth proportional to 1,322, 1,983.32 and 397.54 is: 596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322 : 1,983.32 = 397.54 : x
  2. Step 2: Convert to fraction form
    1,322/1,983.32 = 397.54/x
  3. Step 3: Cross multiply
    1,322x = 1,983.32 × 397.54
  4. Step 4: Simplify right side
    1,322x = 788,449.03
  5. Step 5: Solve for x
    x = 788,449.03/1,322
  6. Step 6: Final answer
    x = 596.41

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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.