Home / 1,288.08-1,932.30-422.46

Finding the Fourth Proportional to 1,288.08, 1,932.30 and 422.46

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Solution

The fourth proportional to 1,288.08, 1,932.30 and 422.46 is: 633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.08 : 1,932.30 = 422.46 : x
  2. Step 2: Convert to fraction form
    1,288.08/1,932.30 = 422.46/x
  3. Step 3: Cross multiply
    1,288.08x = 1,932.30 × 422.46
  4. Step 4: Simplify right side
    1,288.08x = 816,319.46
  5. Step 5: Solve for x
    x = 816,319.46/1,288.08
  6. Step 6: Final answer
    x = 633.75

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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.