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Finding the Fourth Proportional to 1,329.22, 1,993.65 and 355.33

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Solution

The fourth proportional to 1,329.22, 1,993.65 and 355.33 is: 532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.22 : 1,993.65 = 355.33 : x
  2. Step 2: Convert to fraction form
    1,329.22/1,993.65 = 355.33/x
  3. Step 3: Cross multiply
    1,329.22x = 1,993.65 × 355.33
  4. Step 4: Simplify right side
    1,329.22x = 708,403.65
  5. Step 5: Solve for x
    x = 708,403.65/1,329.22
  6. Step 6: Final answer
    x = 532.95

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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.