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Finding the Fourth Proportional to 1,022.29, 1,533.57 and 328.73

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Solution

The fourth proportional to 1,022.29, 1,533.57 and 328.73 is: 493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.29 : 1,533.57 = 328.73 : x
  2. Step 2: Convert to fraction form
    1,022.29/1,533.57 = 328.73/x
  3. Step 3: Cross multiply
    1,022.29x = 1,533.57 × 328.73
  4. Step 4: Simplify right side
    1,022.29x = 504,122.80
  5. Step 5: Solve for x
    x = 504,122.80/1,022.29
  6. Step 6: Final answer
    x = 493.13

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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.