Home / 1,022.16-1,533.28-445.04

Finding the Fourth Proportional to 1,022.16, 1,533.28 and 445.04

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Solution

The fourth proportional to 1,022.16, 1,533.28 and 445.04 is: 667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.16 : 1,533.28 = 445.04 : x
  2. Step 2: Convert to fraction form
    1,022.16/1,533.28 = 445.04/x
  3. Step 3: Cross multiply
    1,022.16x = 1,533.28 × 445.04
  4. Step 4: Simplify right side
    1,022.16x = 682,370.93
  5. Step 5: Solve for x
    x = 682,370.93/1,022.16
  6. Step 6: Final answer
    x = 667.58

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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.