Home / 1,028.20-1,542.08-325.46

Finding the Fourth Proportional to 1,028.20, 1,542.08 and 325.46

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Solution

The fourth proportional to 1,028.20, 1,542.08 and 325.46 is: 488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.20 : 1,542.08 = 325.46 : x
  2. Step 2: Convert to fraction form
    1,028.20/1,542.08 = 325.46/x
  3. Step 3: Cross multiply
    1,028.20x = 1,542.08 × 325.46
  4. Step 4: Simplify right side
    1,028.20x = 501,891.39
  5. Step 5: Solve for x
    x = 501,891.39/1,028.20
  6. Step 6: Final answer
    x = 488.13

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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.