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Finding the Fourth Proportional to 1,192.59, 1,788.26 and 461.75

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Solution

The fourth proportional to 1,192.59, 1,788.26 and 461.75 is: 692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.59 : 1,788.26 = 461.75 : x
  2. Step 2: Convert to fraction form
    1,192.59/1,788.26 = 461.75/x
  3. Step 3: Cross multiply
    1,192.59x = 1,788.26 × 461.75
  4. Step 4: Simplify right side
    1,192.59x = 825,717.80
  5. Step 5: Solve for x
    x = 825,717.80/1,192.59
  6. Step 6: Final answer
    x = 692.37

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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.