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Finding the Fourth Proportional to 682.65, 939.87 and 563.18

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Solution

The fourth proportional to 682.65, 939.87 and 563.18 is: 775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.65 : 939.87 = 563.18 : x
  2. Step 2: Convert to fraction form
    682.65/939.87 = 563.18/x
  3. Step 3: Cross multiply
    682.65x = 939.87 × 563.18
  4. Step 4: Simplify right side
    682.65x = 529,311.29
  5. Step 5: Solve for x
    x = 529,311.29/682.65
  6. Step 6: Final answer
    x = 775.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.