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Finding the Fourth Proportional to 682.34, 1,023.84 and 317.07

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Solution

The fourth proportional to 682.34, 1,023.84 and 317.07 is: 475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.34 : 1,023.84 = 317.07 : x
  2. Step 2: Convert to fraction form
    682.34/1,023.84 = 317.07/x
  3. Step 3: Cross multiply
    682.34x = 1,023.84 × 317.07
  4. Step 4: Simplify right side
    682.34x = 324,628.95
  5. Step 5: Solve for x
    x = 324,628.95/682.34
  6. Step 6: Final answer
    x = 475.76

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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.