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Finding the Fourth Proportional to 960.13, 1,323.23 and 697.69

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Solution

The fourth proportional to 960.13, 1,323.23 and 697.69 is: 961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.13 : 1,323.23 = 697.69 : x
  2. Step 2: Convert to fraction form
    960.13/1,323.23 = 697.69/x
  3. Step 3: Cross multiply
    960.13x = 1,323.23 × 697.69
  4. Step 4: Simplify right side
    960.13x = 923,200.85
  5. Step 5: Solve for x
    x = 923,200.85/960.13
  6. Step 6: Final answer
    x = 961.54

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Double scale
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1.5x scale

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.