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Finding the Fourth Proportional to 960.82, 1,326.63 and 650.50

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Solution

The fourth proportional to 960.82, 1,326.63 and 650.50 is: 898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.82 : 1,326.63 = 650.50 : x
  2. Step 2: Convert to fraction form
    960.82/1,326.63 = 650.50/x
  3. Step 3: Cross multiply
    960.82x = 1,326.63 × 650.50
  4. Step 4: Simplify right side
    960.82x = 862,972.82
  5. Step 5: Solve for x
    x = 862,972.82/960.82
  6. Step 6: Final answer
    x = 898.16

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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.