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Finding the Fourth Proportional to 692.94, 956.40 and 427.37

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Solution

The fourth proportional to 692.94, 956.40 and 427.37 is: 589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.94 : 956.40 = 427.37 : x
  2. Step 2: Convert to fraction form
    692.94/956.40 = 427.37/x
  3. Step 3: Cross multiply
    692.94x = 956.40 × 427.37
  4. Step 4: Simplify right side
    692.94x = 408,731.89
  5. Step 5: Solve for x
    x = 408,731.89/692.94
  6. Step 6: Final answer
    x = 589.85

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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.