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Finding the Fourth Proportional to 820.48, 1,231.44 and 692.32

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Solution

The fourth proportional to 820.48, 1,231.44 and 692.32 is: 1,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.48 : 1,231.44 = 692.32 : x
  2. Step 2: Convert to fraction form
    820.48/1,231.44 = 692.32/x
  3. Step 3: Cross multiply
    820.48x = 1,231.44 × 692.32
  4. Step 4: Simplify right side
    820.48x = 852,550.54
  5. Step 5: Solve for x
    x = 852,550.54/820.48
  6. Step 6: Final answer
    x = 1,039.09

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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.