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Finding the Fourth Proportional to 961.63, 1,326.83 and 696.47

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Solution

The fourth proportional to 961.63, 1,326.83 and 696.47 is: 960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.63 : 1,326.83 = 696.47 : x
  2. Step 2: Convert to fraction form
    961.63/1,326.83 = 696.47/x
  3. Step 3: Cross multiply
    961.63x = 1,326.83 × 696.47
  4. Step 4: Simplify right side
    961.63x = 924,087.17
  5. Step 5: Solve for x
    x = 924,087.17/961.63
  6. Step 6: Final answer
    x = 960.96

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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.