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Finding the Fourth Proportional to 1,022.57, 1,533.84 and 445.43

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Solution

The fourth proportional to 1,022.57, 1,533.84 and 445.43 is: 668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.57 : 1,533.84 = 445.43 : x
  2. Step 2: Convert to fraction form
    1,022.57/1,533.84 = 445.43/x
  3. Step 3: Cross multiply
    1,022.57x = 1,533.84 × 445.43
  4. Step 4: Simplify right side
    1,022.57x = 683,218.35
  5. Step 5: Solve for x
    x = 683,218.35/1,022.57
  6. Step 6: Final answer
    x = 668.14

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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.