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Finding the Fourth Proportional to 680.00, 1,020.06 and 269.33

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Solution

The fourth proportional to 680.00, 1,020.06 and 269.33 is: 404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.00 : 1,020.06 = 269.33 : x
  2. Step 2: Convert to fraction form
    680.00/1,020.06 = 269.33/x
  3. Step 3: Cross multiply
    680.00x = 1,020.06 × 269.33
  4. Step 4: Simplify right side
    680.00x = 274,727.66
  5. Step 5: Solve for x
    x = 274,727.66/680.00
  6. Step 6: Final answer
    x = 404.01

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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.