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Finding the Fourth Proportional to 1,329.74, 1,993.81 and 550.26

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Solution

The fourth proportional to 1,329.74, 1,993.81 and 550.26 is: 825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.74 : 1,993.81 = 550.26 : x
  2. Step 2: Convert to fraction form
    1,329.74/1,993.81 = 550.26/x
  3. Step 3: Cross multiply
    1,329.74x = 1,993.81 × 550.26
  4. Step 4: Simplify right side
    1,329.74x = 1,097,102.55
  5. Step 5: Solve for x
    x = 1,097,102.55/1,329.74
  6. Step 6: Final answer
    x = 825.05

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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.