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Finding the Fourth Proportional to 1,329.33, 1,993.85 and 355.37

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Solution

The fourth proportional to 1,329.33, 1,993.85 and 355.37 is: 533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.33 : 1,993.85 = 355.37 : x
  2. Step 2: Convert to fraction form
    1,329.33/1,993.85 = 355.37/x
  3. Step 3: Cross multiply
    1,329.33x = 1,993.85 × 355.37
  4. Step 4: Simplify right side
    1,329.33x = 708,542.73
  5. Step 5: Solve for x
    x = 708,542.73/1,329.33
  6. Step 6: Final answer
    x = 533.01

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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.