Home / 1,193.27-1,789.05-462.92

Finding the Fourth Proportional to 1,193.27, 1,789.05 and 462.92

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Solution

The fourth proportional to 1,193.27, 1,789.05 and 462.92 is: 694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.27 : 1,789.05 = 462.92 : x
  2. Step 2: Convert to fraction form
    1,193.27/1,789.05 = 462.92/x
  3. Step 3: Cross multiply
    1,193.27x = 1,789.05 × 462.92
  4. Step 4: Simplify right side
    1,193.27x = 828,187.03
  5. Step 5: Solve for x
    x = 828,187.03/1,193.27
  6. Step 6: Final answer
    x = 694.05

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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.