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Finding the Fourth Proportional to 682.58, 941.99 and 516.51

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Solution

The fourth proportional to 682.58, 941.99 and 516.51 is: 712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.58 : 941.99 = 516.51 : x
  2. Step 2: Convert to fraction form
    682.58/941.99 = 516.51/x
  3. Step 3: Cross multiply
    682.58x = 941.99 × 516.51
  4. Step 4: Simplify right side
    682.58x = 486,547.25
  5. Step 5: Solve for x
    x = 486,547.25/682.58
  6. Step 6: Final answer
    x = 712.81

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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.