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Finding the Fourth Proportional to 692.82, 1,039.21 and 230.83

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Solution

The fourth proportional to 692.82, 1,039.21 and 230.83 is: 346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.82 : 1,039.21 = 230.83 : x
  2. Step 2: Convert to fraction form
    692.82/1,039.21 = 230.83/x
  3. Step 3: Cross multiply
    692.82x = 1,039.21 × 230.83
  4. Step 4: Simplify right side
    692.82x = 239,877.67
  5. Step 5: Solve for x
    x = 239,877.67/692.82
  6. Step 6: Final answer
    x = 346.23

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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.