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Finding the Fourth Proportional to 692.76, 956.10 and 482.80

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Solution

The fourth proportional to 692.76, 956.10 and 482.80 is: 666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.76 : 956.10 = 482.80 : x
  2. Step 2: Convert to fraction form
    692.76/956.10 = 482.80/x
  3. Step 3: Cross multiply
    692.76x = 956.10 × 482.80
  4. Step 4: Simplify right side
    692.76x = 461,605.08
  5. Step 5: Solve for x
    x = 461,605.08/692.76
  6. Step 6: Final answer
    x = 666.33

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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.