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Finding the Fourth Proportional to 960.12, 1,323.41 and 749.93

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Solution

The fourth proportional to 960.12, 1,323.41 and 749.93 is: 1,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.12 : 1,323.41 = 749.93 : x
  2. Step 2: Convert to fraction form
    960.12/1,323.41 = 749.93/x
  3. Step 3: Cross multiply
    960.12x = 1,323.41 × 749.93
  4. Step 4: Simplify right side
    960.12x = 992,471.92
  5. Step 5: Solve for x
    x = 992,471.92/960.12
  6. Step 6: Final answer
    x = 1,033.69

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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.