Home / 1,192.25-1,788.87-462.34

Finding the Fourth Proportional to 1,192.25, 1,788.87 and 462.34

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Solution

The fourth proportional to 1,192.25, 1,788.87 and 462.34 is: 693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.25 : 1,788.87 = 462.34 : x
  2. Step 2: Convert to fraction form
    1,192.25/1,788.87 = 462.34/x
  3. Step 3: Cross multiply
    1,192.25x = 1,788.87 × 462.34
  4. Step 4: Simplify right side
    1,192.25x = 827,057.21
  5. Step 5: Solve for x
    x = 827,057.21/1,192.25
  6. Step 6: Final answer
    x = 693.70

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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.