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Finding the Fourth Proportional to 692.89, 956.08 and 427.25

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Solution

The fourth proportional to 692.89, 956.08 and 427.25 is: 589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.89 : 956.08 = 427.25 : x
  2. Step 2: Convert to fraction form
    692.89/956.08 = 427.25/x
  3. Step 3: Cross multiply
    692.89x = 956.08 × 427.25
  4. Step 4: Simplify right side
    692.89x = 408,485.18
  5. Step 5: Solve for x
    x = 408,485.18/692.89
  6. Step 6: Final answer
    x = 589.54

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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.