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Finding the Fourth Proportional to 960.52, 1,324.98 and 649.48

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Solution

The fourth proportional to 960.52, 1,324.98 and 649.48 is: 895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.52 : 1,324.98 = 649.48 : x
  2. Step 2: Convert to fraction form
    960.52/1,324.98 = 649.48/x
  3. Step 3: Cross multiply
    960.52x = 1,324.98 × 649.48
  4. Step 4: Simplify right side
    960.52x = 860,548.01
  5. Step 5: Solve for x
    x = 860,548.01/960.52
  6. Step 6: Final answer
    x = 895.92

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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.