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Finding the Fourth Proportional to 682.29, 1,024.25 and 464.31

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Solution

The fourth proportional to 682.29, 1,024.25 and 464.31 is: 697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.29 : 1,024.25 = 464.31 : x
  2. Step 2: Convert to fraction form
    682.29/1,024.25 = 464.31/x
  3. Step 3: Cross multiply
    682.29x = 1,024.25 × 464.31
  4. Step 4: Simplify right side
    682.29x = 475,567.20
  5. Step 5: Solve for x
    x = 475,567.20/682.29
  6. Step 6: Final answer
    x = 697.02

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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.