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Finding the Fourth Proportional to 1,022.35, 1,533.51 and 329.07

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Solution

The fourth proportional to 1,022.35, 1,533.51 and 329.07 is: 493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.35 : 1,533.51 = 329.07 : x
  2. Step 2: Convert to fraction form
    1,022.35/1,533.51 = 329.07/x
  3. Step 3: Cross multiply
    1,022.35x = 1,533.51 × 329.07
  4. Step 4: Simplify right side
    1,022.35x = 504,630.49
  5. Step 5: Solve for x
    x = 504,630.49/1,022.35
  6. Step 6: Final answer
    x = 493.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.