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Finding the Fourth Proportional to 1,192.03, 1,788.71 and 461.65

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Solution

The fourth proportional to 1,192.03, 1,788.71 and 461.65 is: 692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.03 : 1,788.71 = 461.65 : x
  2. Step 2: Convert to fraction form
    1,192.03/1,788.71 = 461.65/x
  3. Step 3: Cross multiply
    1,192.03x = 1,788.71 × 461.65
  4. Step 4: Simplify right side
    1,192.03x = 825,757.97
  5. Step 5: Solve for x
    x = 825,757.97/1,192.03
  6. Step 6: Final answer
    x = 692.73

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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.