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Finding the Fourth Proportional to 1,022.25, 1,533.34 and 328.96

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Solution

The fourth proportional to 1,022.25, 1,533.34 and 328.96 is: 493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.25 : 1,533.34 = 328.96 : x
  2. Step 2: Convert to fraction form
    1,022.25/1,533.34 = 328.96/x
  3. Step 3: Cross multiply
    1,022.25x = 1,533.34 × 328.96
  4. Step 4: Simplify right side
    1,022.25x = 504,404.10
  5. Step 5: Solve for x
    x = 504,404.10/1,022.25
  6. Step 6: Final answer
    x = 493.43

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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.