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Finding the Fourth Proportional to 692.45, 1,038.68 and 205.64

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Solution

The fourth proportional to 692.45, 1,038.68 and 205.64 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.45 : 1,038.68 = 205.64 : x
  2. Step 2: Convert to fraction form
    692.45/1,038.68 = 205.64/x
  3. Step 3: Cross multiply
    692.45x = 1,038.68 × 205.64
  4. Step 4: Simplify right side
    692.45x = 213,587.93
  5. Step 5: Solve for x
    x = 213,587.93/692.45
  6. Step 6: Final answer
    x = 308.45

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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.