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Finding the Fourth Proportional to 682.74, 941.60 and 576.92

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Solution

The fourth proportional to 682.74, 941.60 and 576.92 is: 795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.74 : 941.60 = 576.92 : x
  2. Step 2: Convert to fraction form
    682.74/941.60 = 576.92/x
  3. Step 3: Cross multiply
    682.74x = 941.60 × 576.92
  4. Step 4: Simplify right side
    682.74x = 543,220.28
  5. Step 5: Solve for x
    x = 543,220.28/682.74
  6. Step 6: Final answer
    x = 795.65

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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.