Home / 1,322.24-1,981.92-590.82

Finding the Fourth Proportional to 1,322.24, 1,981.92 and 590.82

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Solution

The fourth proportional to 1,322.24, 1,981.92 and 590.82 is: 885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.24 : 1,981.92 = 590.82 : x
  2. Step 2: Convert to fraction form
    1,322.24/1,981.92 = 590.82/x
  3. Step 3: Cross multiply
    1,322.24x = 1,981.92 × 590.82
  4. Step 4: Simplify right side
    1,322.24x = 1,170,957.97
  5. Step 5: Solve for x
    x = 1,170,957.97/1,322.24
  6. Step 6: Final answer
    x = 885.59

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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.