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Finding the Fourth Proportional to 692.77, 956.13 and 413.02

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Solution

The fourth proportional to 692.77, 956.13 and 413.02 is: 570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.77 : 956.13 = 413.02 : x
  2. Step 2: Convert to fraction form
    692.77/956.13 = 413.02/x
  3. Step 3: Cross multiply
    692.77x = 956.13 × 413.02
  4. Step 4: Simplify right side
    692.77x = 394,900.81
  5. Step 5: Solve for x
    x = 394,900.81/692.77
  6. Step 6: Final answer
    x = 570.03

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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.