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Finding the Fourth Proportional to 1,329.11, 1,994.06 and 680.30

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Solution

The fourth proportional to 1,329.11, 1,994.06 and 680.30 is: 1,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.11 : 1,994.06 = 680.30 : x
  2. Step 2: Convert to fraction form
    1,329.11/1,994.06 = 680.30/x
  3. Step 3: Cross multiply
    1,329.11x = 1,994.06 × 680.30
  4. Step 4: Simplify right side
    1,329.11x = 1,356,559.02
  5. Step 5: Solve for x
    x = 1,356,559.02/1,329.11
  6. Step 6: Final answer
    x = 1,020.65

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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.