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Finding the Fourth Proportional to 692.09, 955.45 and 534.38

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Solution

The fourth proportional to 692.09, 955.45 and 534.38 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.09 : 955.45 = 534.38 : x
  2. Step 2: Convert to fraction form
    692.09/955.45 = 534.38/x
  3. Step 3: Cross multiply
    692.09x = 955.45 × 534.38
  4. Step 4: Simplify right side
    692.09x = 510,573.37
  5. Step 5: Solve for x
    x = 510,573.37/692.09
  6. Step 6: Final answer
    x = 737.73

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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.