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Finding the Fourth Proportional to 960.78, 1,324.10 and 750.62

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Solution

The fourth proportional to 960.78, 1,324.10 and 750.62 is: 1,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.78 : 1,324.10 = 750.62 : x
  2. Step 2: Convert to fraction form
    960.78/1,324.10 = 750.62/x
  3. Step 3: Cross multiply
    960.78x = 1,324.10 × 750.62
  4. Step 4: Simplify right side
    960.78x = 993,895.94
  5. Step 5: Solve for x
    x = 993,895.94/960.78
  6. Step 6: Final answer
    x = 1,034.47

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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.