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Finding the Fourth Proportional to 692.47, 1,038.71 and 198.88

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Solution

The fourth proportional to 692.47, 1,038.71 and 198.88 is: 298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.47 : 1,038.71 = 198.88 : x
  2. Step 2: Convert to fraction form
    692.47/1,038.71 = 198.88/x
  3. Step 3: Cross multiply
    692.47x = 1,038.71 × 198.88
  4. Step 4: Simplify right side
    692.47x = 206,578.64
  5. Step 5: Solve for x
    x = 206,578.64/692.47
  6. Step 6: Final answer
    x = 298.32

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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.