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Finding the Fourth Proportional to 692.89, 955.39 and 516.16

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Solution

The fourth proportional to 692.89, 955.39 and 516.16 is: 711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.89 : 955.39 = 516.16 : x
  2. Step 2: Convert to fraction form
    692.89/955.39 = 516.16/x
  3. Step 3: Cross multiply
    692.89x = 955.39 × 516.16
  4. Step 4: Simplify right side
    692.89x = 493,134.10
  5. Step 5: Solve for x
    x = 493,134.10/692.89
  6. Step 6: Final answer
    x = 711.71

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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.