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Finding the Fourth Proportional to 1,329.84, 1,993.80 and 680.08

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Solution

The fourth proportional to 1,329.84, 1,993.80 and 680.08 is: 1,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.84 : 1,993.80 = 680.08 : x
  2. Step 2: Convert to fraction form
    1,329.84/1,993.80 = 680.08/x
  3. Step 3: Cross multiply
    1,329.84x = 1,993.80 × 680.08
  4. Step 4: Simplify right side
    1,329.84x = 1,355,943.50
  5. Step 5: Solve for x
    x = 1,355,943.50/1,329.84
  6. Step 6: Final answer
    x = 1,019.63

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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.