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Finding the Fourth Proportional to 960.31, 1,322.63 and 829.09

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Solution

The fourth proportional to 960.31, 1,322.63 and 829.09 is: 1,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.31 : 1,322.63 = 829.09 : x
  2. Step 2: Convert to fraction form
    960.31/1,322.63 = 829.09/x
  3. Step 3: Cross multiply
    960.31x = 1,322.63 × 829.09
  4. Step 4: Simplify right side
    960.31x = 1,096,574.77
  5. Step 5: Solve for x
    x = 1,096,574.77/960.31
  6. Step 6: Final answer
    x = 1,141.90

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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.