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Finding the Fourth Proportional to 682.85, 1,023.53 and 292.75

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Solution

The fourth proportional to 682.85, 1,023.53 and 292.75 is: 438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.85 : 1,023.53 = 292.75 : x
  2. Step 2: Convert to fraction form
    682.85/1,023.53 = 292.75/x
  3. Step 3: Cross multiply
    682.85x = 1,023.53 × 292.75
  4. Step 4: Simplify right side
    682.85x = 299,634.38
  5. Step 5: Solve for x
    x = 299,634.38/682.85
  6. Step 6: Final answer
    x = 438.80

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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.