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Finding the Fourth Proportional to 682.02, 1,022.50 and 438.08

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Solution

The fourth proportional to 682.02, 1,022.50 and 438.08 is: 656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.02 : 1,022.50 = 438.08 : x
  2. Step 2: Convert to fraction form
    682.02/1,022.50 = 438.08/x
  3. Step 3: Cross multiply
    682.02x = 1,022.50 × 438.08
  4. Step 4: Simplify right side
    682.02x = 447,936.80
  5. Step 5: Solve for x
    x = 447,936.80/682.02
  6. Step 6: Final answer
    x = 656.78

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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.