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Finding the Fourth Proportional to 692.29, 956.29 and 553.38

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Solution

The fourth proportional to 692.29, 956.29 and 553.38 is: 764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.29 : 956.29 = 553.38 : x
  2. Step 2: Convert to fraction form
    692.29/956.29 = 553.38/x
  3. Step 3: Cross multiply
    692.29x = 956.29 × 553.38
  4. Step 4: Simplify right side
    692.29x = 529,193.14
  5. Step 5: Solve for x
    x = 529,193.14/692.29
  6. Step 6: Final answer
    x = 764.41

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Why These Related Problems?

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