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Finding the Fourth Proportional to 682.59, 942.69 and 536.34

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Solution

The fourth proportional to 682.59, 942.69 and 536.34 is: 740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.59 : 942.69 = 536.34 : x
  2. Step 2: Convert to fraction form
    682.59/942.69 = 536.34/x
  3. Step 3: Cross multiply
    682.59x = 942.69 × 536.34
  4. Step 4: Simplify right side
    682.59x = 505,597.64
  5. Step 5: Solve for x
    x = 505,597.64/682.59
  6. Step 6: Final answer
    x = 740.71

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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.