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Finding the Fourth Proportional to 1,022.33, 1,533.74 and 329.06

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Solution

The fourth proportional to 1,022.33, 1,533.74 and 329.06 is: 493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.33 : 1,533.74 = 329.06 : x
  2. Step 2: Convert to fraction form
    1,022.33/1,533.74 = 329.06/x
  3. Step 3: Cross multiply
    1,022.33x = 1,533.74 × 329.06
  4. Step 4: Simplify right side
    1,022.33x = 504,697.96
  5. Step 5: Solve for x
    x = 504,697.96/1,022.33
  6. Step 6: Final answer
    x = 493.67

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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.