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Finding the Fourth Proportional to 682.67, 1,023.62 and 463.50

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Solution

The fourth proportional to 682.67, 1,023.62 and 463.50 is: 694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.67 : 1,023.62 = 463.50 : x
  2. Step 2: Convert to fraction form
    682.67/1,023.62 = 463.50/x
  3. Step 3: Cross multiply
    682.67x = 1,023.62 × 463.50
  4. Step 4: Simplify right side
    682.67x = 474,445.55
  5. Step 5: Solve for x
    x = 474,445.55/682.67
  6. Step 6: Final answer
    x = 694.99

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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.