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Finding the Fourth Proportional to 935.37, 1,292.22 and 796.93

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Solution

The fourth proportional to 935.37, 1,292.22 and 796.93 is: 1,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.37 : 1,292.22 = 796.93 : x
  2. Step 2: Convert to fraction form
    935.37/1,292.22 = 796.93/x
  3. Step 3: Cross multiply
    935.37x = 1,292.22 × 796.93
  4. Step 4: Simplify right side
    935.37x = 1,029,805.65
  5. Step 5: Solve for x
    x = 1,029,805.65/935.37
  6. Step 6: Final answer
    x = 1,100.96

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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.