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Finding the Fourth Proportional to 692.33, 1,037.49 and 399.83

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Solution

The fourth proportional to 692.33, 1,037.49 and 399.83 is: 599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.33 : 1,037.49 = 399.83 : x
  2. Step 2: Convert to fraction form
    692.33/1,037.49 = 399.83/x
  3. Step 3: Cross multiply
    692.33x = 1,037.49 × 399.83
  4. Step 4: Simplify right side
    692.33x = 414,814.44
  5. Step 5: Solve for x
    x = 414,814.44/692.33
  6. Step 6: Final answer
    x = 599.16

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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.