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Finding the Fourth Proportional to 692.64, 959.82 and 667.08

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Solution

The fourth proportional to 692.64, 959.82 and 667.08 is: 924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.64 : 959.82 = 667.08 : x
  2. Step 2: Convert to fraction form
    692.64/959.82 = 667.08/x
  3. Step 3: Cross multiply
    692.64x = 959.82 × 667.08
  4. Step 4: Simplify right side
    692.64x = 640,276.73
  5. Step 5: Solve for x
    x = 640,276.73/692.64
  6. Step 6: Final answer
    x = 924.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.