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Finding the Fourth Proportional to 960.05, 1,324.76 and 665.42

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Solution

The fourth proportional to 960.05, 1,324.76 and 665.42 is: 918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.05 : 1,324.76 = 665.42 : x
  2. Step 2: Convert to fraction form
    960.05/1,324.76 = 665.42/x
  3. Step 3: Cross multiply
    960.05x = 1,324.76 × 665.42
  4. Step 4: Simplify right side
    960.05x = 881,511.85
  5. Step 5: Solve for x
    x = 881,511.85/960.05
  6. Step 6: Final answer
    x = 918.19

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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.