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Finding the Fourth Proportional to 682.37, 1,023.64 and 312.17

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Solution

The fourth proportional to 682.37, 1,023.64 and 312.17 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.37 : 1,023.64 = 312.17 : x
  2. Step 2: Convert to fraction form
    682.37/1,023.64 = 312.17/x
  3. Step 3: Cross multiply
    682.37x = 1,023.64 × 312.17
  4. Step 4: Simplify right side
    682.37x = 319,549.56
  5. Step 5: Solve for x
    x = 319,549.56/682.37
  6. Step 6: Final answer
    x = 468.29

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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.