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Finding the Fourth Proportional to 682.60, 1,021.86 and 438.28

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Solution

The fourth proportional to 682.60, 1,021.86 and 438.28 is: 656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.60 : 1,021.86 = 438.28 : x
  2. Step 2: Convert to fraction form
    682.60/1,021.86 = 438.28/x
  3. Step 3: Cross multiply
    682.60x = 1,021.86 × 438.28
  4. Step 4: Simplify right side
    682.60x = 447,860.80
  5. Step 5: Solve for x
    x = 447,860.80/682.60
  6. Step 6: Final answer
    x = 656.11

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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.