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Finding the Fourth Proportional to 682.34, 1,023.08 and 316.76

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Solution

The fourth proportional to 682.34, 1,023.08 and 316.76 is: 474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.34 : 1,023.08 = 316.76 : x
  2. Step 2: Convert to fraction form
    682.34/1,023.08 = 316.76/x
  3. Step 3: Cross multiply
    682.34x = 1,023.08 × 316.76
  4. Step 4: Simplify right side
    682.34x = 324,064.12
  5. Step 5: Solve for x
    x = 324,064.12/682.34
  6. Step 6: Final answer
    x = 474.93

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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.