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Finding the Fourth Proportional to 680.90, 1,021.64 and 388.35

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Solution

The fourth proportional to 680.90, 1,021.64 and 388.35 is: 582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.90 : 1,021.64 = 388.35 : x
  2. Step 2: Convert to fraction form
    680.90/1,021.64 = 388.35/x
  3. Step 3: Cross multiply
    680.90x = 1,021.64 × 388.35
  4. Step 4: Simplify right side
    680.90x = 396,751.95
  5. Step 5: Solve for x
    x = 396,751.95/680.90
  6. Step 6: Final answer
    x = 582.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.