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Finding the Fourth Proportional to 692.66, 1,038.80 and 205.58

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Solution

The fourth proportional to 692.66, 1,038.80 and 205.58 is: 308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.66 : 1,038.80 = 205.58 : x
  2. Step 2: Convert to fraction form
    692.66/1,038.80 = 205.58/x
  3. Step 3: Cross multiply
    692.66x = 1,038.80 × 205.58
  4. Step 4: Simplify right side
    692.66x = 213,556.50
  5. Step 5: Solve for x
    x = 213,556.50/692.66
  6. Step 6: Final answer
    x = 308.31

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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.