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Finding the Fourth Proportional to 682.08, 941.72 and 524.43

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Solution

The fourth proportional to 682.08, 941.72 and 524.43 is: 724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.08 : 941.72 = 524.43 : x
  2. Step 2: Convert to fraction form
    682.08/941.72 = 524.43/x
  3. Step 3: Cross multiply
    682.08x = 941.72 × 524.43
  4. Step 4: Simplify right side
    682.08x = 493,866.22
  5. Step 5: Solve for x
    x = 493,866.22/682.08
  6. Step 6: Final answer
    x = 724.06

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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.