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Finding the Fourth Proportional to 1,322.40, 1,983.58 and 397.95

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Solution

The fourth proportional to 1,322.40, 1,983.58 and 397.95 is: 596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.40 : 1,983.58 = 397.95 : x
  2. Step 2: Convert to fraction form
    1,322.40/1,983.58 = 397.95/x
  3. Step 3: Cross multiply
    1,322.40x = 1,983.58 × 397.95
  4. Step 4: Simplify right side
    1,322.40x = 789,365.66
  5. Step 5: Solve for x
    x = 789,365.66/1,322.40
  6. Step 6: Final answer
    x = 596.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.