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Finding the Fourth Proportional to 692.24, 952.20 and 674.96

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Solution

The fourth proportional to 692.24, 952.20 and 674.96 is: 928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.24 : 952.20 = 674.96 : x
  2. Step 2: Convert to fraction form
    692.24/952.20 = 674.96/x
  3. Step 3: Cross multiply
    692.24x = 952.20 × 674.96
  4. Step 4: Simplify right side
    692.24x = 642,696.91
  5. Step 5: Solve for x
    x = 642,696.91/692.24
  6. Step 6: Final answer
    x = 928.43

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1.5x scale

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.