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Finding the Fourth Proportional to 682.26, 941.55 and 525.06

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Solution

The fourth proportional to 682.26, 941.55 and 525.06 is: 724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.26 : 941.55 = 525.06 : x
  2. Step 2: Convert to fraction form
    682.26/941.55 = 525.06/x
  3. Step 3: Cross multiply
    682.26x = 941.55 × 525.06
  4. Step 4: Simplify right side
    682.26x = 494,370.24
  5. Step 5: Solve for x
    x = 494,370.24/682.26
  6. Step 6: Final answer
    x = 724.61

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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.