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Finding the Fourth Proportional to 692.13, 1,037.35 and 326.20

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Solution

The fourth proportional to 692.13, 1,037.35 and 326.20 is: 488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.13 : 1,037.35 = 326.20 : x
  2. Step 2: Convert to fraction form
    692.13/1,037.35 = 326.20/x
  3. Step 3: Cross multiply
    692.13x = 1,037.35 × 326.20
  4. Step 4: Simplify right side
    692.13x = 338,383.57
  5. Step 5: Solve for x
    x = 338,383.57/692.13
  6. Step 6: Final answer
    x = 488.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.