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Finding the Fourth Proportional to 821.54, 1,231.71 and 301.27

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Solution

The fourth proportional to 821.54, 1,231.71 and 301.27 is: 451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.54 : 1,231.71 = 301.27 : x
  2. Step 2: Convert to fraction form
    821.54/1,231.71 = 301.27/x
  3. Step 3: Cross multiply
    821.54x = 1,231.71 × 301.27
  4. Step 4: Simplify right side
    821.54x = 371,075.37
  5. Step 5: Solve for x
    x = 371,075.37/821.54
  6. Step 6: Final answer
    x = 451.68

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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.