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Finding the Fourth Proportional to 823.05, 1,223.98 and 797.09

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Solution

The fourth proportional to 823.05, 1,223.98 and 797.09 is: 1,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.05 : 1,223.98 = 797.09 : x
  2. Step 2: Convert to fraction form
    823.05/1,223.98 = 797.09/x
  3. Step 3: Cross multiply
    823.05x = 1,223.98 × 797.09
  4. Step 4: Simplify right side
    823.05x = 975,625.47
  5. Step 5: Solve for x
    x = 975,625.47/823.05
  6. Step 6: Final answer
    x = 1,185.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.