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Finding the Fourth Proportional to 960.77, 1,326.05 and 629.07

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Solution

The fourth proportional to 960.77, 1,326.05 and 629.07 is: 868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.77 : 1,326.05 = 629.07 : x
  2. Step 2: Convert to fraction form
    960.77/1,326.05 = 629.07/x
  3. Step 3: Cross multiply
    960.77x = 1,326.05 × 629.07
  4. Step 4: Simplify right side
    960.77x = 834,177.49
  5. Step 5: Solve for x
    x = 834,177.49/960.77
  6. Step 6: Final answer
    x = 868.24

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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.