Home / 1,112.94-1,669.41-462.92

Finding the Fourth Proportional to 1,112.94, 1,669.41 and 462.92

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Solution

The fourth proportional to 1,112.94, 1,669.41 and 462.92 is: 694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.94 : 1,669.41 = 462.92 : x
  2. Step 2: Convert to fraction form
    1,112.94/1,669.41 = 462.92/x
  3. Step 3: Cross multiply
    1,112.94x = 1,669.41 × 462.92
  4. Step 4: Simplify right side
    1,112.94x = 772,794.93
  5. Step 5: Solve for x
    x = 772,794.93/1,112.94
  6. Step 6: Final answer
    x = 694.37

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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.