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Finding the Fourth Proportional to 682.08, 941.13 and 514.23

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Solution

The fourth proportional to 682.08, 941.13 and 514.23 is: 709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.08 : 941.13 = 514.23 : x
  2. Step 2: Convert to fraction form
    682.08/941.13 = 514.23/x
  3. Step 3: Cross multiply
    682.08x = 941.13 × 514.23
  4. Step 4: Simplify right side
    682.08x = 483,957.28
  5. Step 5: Solve for x
    x = 483,957.28/682.08
  6. Step 6: Final answer
    x = 709.53

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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.