Home / 1,193.19-1,789.11-462.57

Finding the Fourth Proportional to 1,193.19, 1,789.11 and 462.57

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Solution

The fourth proportional to 1,193.19, 1,789.11 and 462.57 is: 693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.19 : 1,789.11 = 462.57 : x
  2. Step 2: Convert to fraction form
    1,193.19/1,789.11 = 462.57/x
  3. Step 3: Cross multiply
    1,193.19x = 1,789.11 × 462.57
  4. Step 4: Simplify right side
    1,193.19x = 827,588.61
  5. Step 5: Solve for x
    x = 827,588.61/1,193.19
  6. Step 6: Final answer
    x = 693.59

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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.