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Finding the Fourth Proportional to 678.78, 1,020.20 and 664.41

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Solution

The fourth proportional to 678.78, 1,020.20 and 664.41 is: 998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.78 : 1,020.20 = 664.41 : x
  2. Step 2: Convert to fraction form
    678.78/1,020.20 = 664.41/x
  3. Step 3: Cross multiply
    678.78x = 1,020.20 × 664.41
  4. Step 4: Simplify right side
    678.78x = 677,831.08
  5. Step 5: Solve for x
    x = 677,831.08/678.78
  6. Step 6: Final answer
    x = 998.60

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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.