Home / 1,028.06-1,542.26-325.32

Finding the Fourth Proportional to 1,028.06, 1,542.26 and 325.32

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Solution

The fourth proportional to 1,028.06, 1,542.26 and 325.32 is: 488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.06 : 1,542.26 = 325.32 : x
  2. Step 2: Convert to fraction form
    1,028.06/1,542.26 = 325.32/x
  3. Step 3: Cross multiply
    1,028.06x = 1,542.26 × 325.32
  4. Step 4: Simplify right side
    1,028.06x = 501,728.02
  5. Step 5: Solve for x
    x = 501,728.02/1,028.06
  6. Step 6: Final answer
    x = 488.03

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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.