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Finding the Fourth Proportional to 825.51, 1,235.70 and 796.98

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Solution

The fourth proportional to 825.51, 1,235.70 and 796.98 is: 1,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.51 : 1,235.70 = 796.98 : x
  2. Step 2: Convert to fraction form
    825.51/1,235.70 = 796.98/x
  3. Step 3: Cross multiply
    825.51x = 1,235.70 × 796.98
  4. Step 4: Simplify right side
    825.51x = 984,828.19
  5. Step 5: Solve for x
    x = 984,828.19/825.51
  6. Step 6: Final answer
    x = 1,192.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.