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Finding the Fourth Proportional to 1,329.11, 1,993.26 and 463.22

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Solution

The fourth proportional to 1,329.11, 1,993.26 and 463.22 is: 694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.11 : 1,993.26 = 463.22 : x
  2. Step 2: Convert to fraction form
    1,329.11/1,993.26 = 463.22/x
  3. Step 3: Cross multiply
    1,329.11x = 1,993.26 × 463.22
  4. Step 4: Simplify right side
    1,329.11x = 923,314.54
  5. Step 5: Solve for x
    x = 923,314.54/1,329.11
  6. Step 6: Final answer
    x = 694.69

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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.