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Finding the Fourth Proportional to 959.14, 1,321.77 and 682.66

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Solution

The fourth proportional to 959.14, 1,321.77 and 682.66 is: 940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.14 : 1,321.77 = 682.66 : x
  2. Step 2: Convert to fraction form
    959.14/1,321.77 = 682.66/x
  3. Step 3: Cross multiply
    959.14x = 1,321.77 × 682.66
  4. Step 4: Simplify right side
    959.14x = 902,319.51
  5. Step 5: Solve for x
    x = 902,319.51/959.14
  6. Step 6: Final answer
    x = 940.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.