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Finding the Fourth Proportional to 682.45, 941.09 and 557.71

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Solution

The fourth proportional to 682.45, 941.09 and 557.71 is: 769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.45 : 941.09 = 557.71 : x
  2. Step 2: Convert to fraction form
    682.45/941.09 = 557.71/x
  3. Step 3: Cross multiply
    682.45x = 941.09 × 557.71
  4. Step 4: Simplify right side
    682.45x = 524,850.16
  5. Step 5: Solve for x
    x = 524,850.16/682.45
  6. Step 6: Final answer
    x = 769.07

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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.