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Finding the Fourth Proportional to 692.91, 956.50 and 413.09

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Solution

The fourth proportional to 692.91, 956.50 and 413.09 is: 570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.91 : 956.50 = 413.09 : x
  2. Step 2: Convert to fraction form
    692.91/956.50 = 413.09/x
  3. Step 3: Cross multiply
    692.91x = 956.50 × 413.09
  4. Step 4: Simplify right side
    692.91x = 395,121.94
  5. Step 5: Solve for x
    x = 395,121.94/692.91
  6. Step 6: Final answer
    x = 570.24

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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.