Home / 1,322.31-1,983.39-397.85

Finding the Fourth Proportional to 1,322.31, 1,983.39 and 397.85

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Solution

The fourth proportional to 1,322.31, 1,983.39 and 397.85 is: 596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.31 : 1,983.39 = 397.85 : x
  2. Step 2: Convert to fraction form
    1,322.31/1,983.39 = 397.85/x
  3. Step 3: Cross multiply
    1,322.31x = 1,983.39 × 397.85
  4. Step 4: Simplify right side
    1,322.31x = 789,091.71
  5. Step 5: Solve for x
    x = 789,091.71/1,322.31
  6. Step 6: Final answer
    x = 596.75

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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.