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Finding the Fourth Proportional to 692.89, 956.08 and 413.03

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Solution

The fourth proportional to 692.89, 956.08 and 413.03 is: 569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.89 : 956.08 = 413.03 : x
  2. Step 2: Convert to fraction form
    692.89/956.08 = 413.03/x
  3. Step 3: Cross multiply
    692.89x = 956.08 × 413.03
  4. Step 4: Simplify right side
    692.89x = 394,882.88
  5. Step 5: Solve for x
    x = 394,882.88/692.89
  6. Step 6: Final answer
    x = 569.91

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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.