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Finding the Fourth Proportional to 851.84, 1,174.95 and 823.27

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Solution

The fourth proportional to 851.84, 1,174.95 and 823.27 is: 1,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.84 : 1,174.95 = 823.27 : x
  2. Step 2: Convert to fraction form
    851.84/1,174.95 = 823.27/x
  3. Step 3: Cross multiply
    851.84x = 1,174.95 × 823.27
  4. Step 4: Simplify right side
    851.84x = 967,301.09
  5. Step 5: Solve for x
    x = 967,301.09/851.84
  6. Step 6: Final answer
    x = 1,135.54

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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.