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Finding the Fourth Proportional to 692.09, 1,037.95 and 205.02

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Solution

The fourth proportional to 692.09, 1,037.95 and 205.02 is: 307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.09 : 1,037.95 = 205.02 : x
  2. Step 2: Convert to fraction form
    692.09/1,037.95 = 205.02/x
  3. Step 3: Cross multiply
    692.09x = 1,037.95 × 205.02
  4. Step 4: Simplify right side
    692.09x = 212,804.27
  5. Step 5: Solve for x
    x = 212,804.27/692.09
  6. Step 6: Final answer
    x = 307.48

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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.