Home / 1,101.20-1,519.97-785.95

Finding the Fourth Proportional to 1,101.20, 1,519.97 and 785.95

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Solution

The fourth proportional to 1,101.20, 1,519.97 and 785.95 is: 1,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.20 : 1,519.97 = 785.95 : x
  2. Step 2: Convert to fraction form
    1,101.20/1,519.97 = 785.95/x
  3. Step 3: Cross multiply
    1,101.20x = 1,519.97 × 785.95
  4. Step 4: Simplify right side
    1,101.20x = 1,194,612.69
  5. Step 5: Solve for x
    x = 1,194,612.69/1,101.20
  6. Step 6: Final answer
    x = 1,084.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.