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Finding the Fourth Proportional to 692.78, 955.94 and 412.99

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Solution

The fourth proportional to 692.78, 955.94 and 412.99 is: 569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.78 : 955.94 = 412.99 : x
  2. Step 2: Convert to fraction form
    692.78/955.94 = 412.99/x
  3. Step 3: Cross multiply
    692.78x = 955.94 × 412.99
  4. Step 4: Simplify right side
    692.78x = 394,789.21
  5. Step 5: Solve for x
    x = 394,789.21/692.78
  6. Step 6: Final answer
    x = 569.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.