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Finding the Fourth Proportional to 1,330.84, 1,993.56 and 680.68

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Solution

The fourth proportional to 1,330.84, 1,993.56 and 680.68 is: 1,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.84 : 1,993.56 = 680.68 : x
  2. Step 2: Convert to fraction form
    1,330.84/1,993.56 = 680.68/x
  3. Step 3: Cross multiply
    1,330.84x = 1,993.56 × 680.68
  4. Step 4: Simplify right side
    1,330.84x = 1,356,976.42
  5. Step 5: Solve for x
    x = 1,356,976.42/1,330.84
  6. Step 6: Final answer
    x = 1,019.64

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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.