Home / 1,054.20-1,581.45-323.58

Finding the Fourth Proportional to 1,054.20, 1,581.45 and 323.58

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Solution

The fourth proportional to 1,054.20, 1,581.45 and 323.58 is: 485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.20 : 1,581.45 = 323.58 : x
  2. Step 2: Convert to fraction form
    1,054.20/1,581.45 = 323.58/x
  3. Step 3: Cross multiply
    1,054.20x = 1,581.45 × 323.58
  4. Step 4: Simplify right side
    1,054.20x = 511,725.59
  5. Step 5: Solve for x
    x = 511,725.59/1,054.20
  6. Step 6: Final answer
    x = 485.42

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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.