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Finding the Fourth Proportional to 692.69, 1,039.34 and 367.98

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Solution

The fourth proportional to 692.69, 1,039.34 and 367.98 is: 552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.69 : 1,039.34 = 367.98 : x
  2. Step 2: Convert to fraction form
    692.69/1,039.34 = 367.98/x
  3. Step 3: Cross multiply
    692.69x = 1,039.34 × 367.98
  4. Step 4: Simplify right side
    692.69x = 382,461.09
  5. Step 5: Solve for x
    x = 382,461.09/692.69
  6. Step 6: Final answer
    x = 552.14

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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.