Home / 1,022.56-1,533.20-680.16

Finding the Fourth Proportional to 1,022.56, 1,533.20 and 680.16

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Solution

The fourth proportional to 1,022.56, 1,533.20 and 680.16 is: 1,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.56 : 1,533.20 = 680.16 : x
  2. Step 2: Convert to fraction form
    1,022.56/1,533.20 = 680.16/x
  3. Step 3: Cross multiply
    1,022.56x = 1,533.20 × 680.16
  4. Step 4: Simplify right side
    1,022.56x = 1,042,821.31
  5. Step 5: Solve for x
    x = 1,042,821.31/1,022.56
  6. Step 6: Final answer
    x = 1,019.81

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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.