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Finding the Fourth Proportional to 682.16, 1,022.86 and 463

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Solution

The fourth proportional to 682.16, 1,022.86 and 463 is: 694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 1,022.86 = 463 : x
  2. Step 2: Convert to fraction form
    682.16/1,022.86 = 463/x
  3. Step 3: Cross multiply
    682.16x = 1,022.86 × 463
  4. Step 4: Simplify right side
    682.16x = 473,584.18
  5. Step 5: Solve for x
    x = 473,584.18/682.16
  6. Step 6: Final answer
    x = 694.24

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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.