Home / 1,193.26-1,789.10-461.96

Finding the Fourth Proportional to 1,193.26, 1,789.10 and 461.96

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Solution

The fourth proportional to 1,193.26, 1,789.10 and 461.96 is: 692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.26 : 1,789.10 = 461.96 : x
  2. Step 2: Convert to fraction form
    1,193.26/1,789.10 = 461.96/x
  3. Step 3: Cross multiply
    1,193.26x = 1,789.10 × 461.96
  4. Step 4: Simplify right side
    1,193.26x = 826,492.64
  5. Step 5: Solve for x
    x = 826,492.64/1,193.26
  6. Step 6: Final answer
    x = 692.63

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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.