Home / 1,322.24-1,982.75-397.61

Finding the Fourth Proportional to 1,322.24, 1,982.75 and 397.61

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Solution

The fourth proportional to 1,322.24, 1,982.75 and 397.61 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.24 : 1,982.75 = 397.61 : x
  2. Step 2: Convert to fraction form
    1,322.24/1,982.75 = 397.61/x
  3. Step 3: Cross multiply
    1,322.24x = 1,982.75 × 397.61
  4. Step 4: Simplify right side
    1,322.24x = 788,349.33
  5. Step 5: Solve for x
    x = 788,349.33/1,322.24
  6. Step 6: Final answer
    x = 596.22

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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.