Home / 1,322.25-1,983.38-397.81

Finding the Fourth Proportional to 1,322.25, 1,983.38 and 397.81

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Solution

The fourth proportional to 1,322.25, 1,983.38 and 397.81 is: 596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.25 : 1,983.38 = 397.81 : x
  2. Step 2: Convert to fraction form
    1,322.25/1,983.38 = 397.81/x
  3. Step 3: Cross multiply
    1,322.25x = 1,983.38 × 397.81
  4. Step 4: Simplify right side
    1,322.25x = 789,008.40
  5. Step 5: Solve for x
    x = 789,008.40/1,322.25
  6. Step 6: Final answer
    x = 596.72

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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.