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Finding the Fourth Proportional to 682.41, 1,023.65 and 188.85

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Solution

The fourth proportional to 682.41, 1,023.65 and 188.85 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.41 : 1,023.65 = 188.85 : x
  2. Step 2: Convert to fraction form
    682.41/1,023.65 = 188.85/x
  3. Step 3: Cross multiply
    682.41x = 1,023.65 × 188.85
  4. Step 4: Simplify right side
    682.41x = 193,315.36
  5. Step 5: Solve for x
    x = 193,315.36/682.41
  6. Step 6: Final answer
    x = 283.28

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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.