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Finding the Fourth Proportional to 692.40, 1,038.77 and 205.46

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Solution

The fourth proportional to 692.40, 1,038.77 and 205.46 is: 308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.40 : 1,038.77 = 205.46 : x
  2. Step 2: Convert to fraction form
    692.40/1,038.77 = 205.46/x
  3. Step 3: Cross multiply
    692.40x = 1,038.77 × 205.46
  4. Step 4: Simplify right side
    692.40x = 213,425.68
  5. Step 5: Solve for x
    x = 213,425.68/692.40
  6. Step 6: Final answer
    x = 308.24

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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.