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Finding the Fourth Proportional to 759.82, 1,139.61 and 211.99

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Solution

The fourth proportional to 759.82, 1,139.61 and 211.99 is: 317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.82 : 1,139.61 = 211.99 : x
  2. Step 2: Convert to fraction form
    759.82/1,139.61 = 211.99/x
  3. Step 3: Cross multiply
    759.82x = 1,139.61 × 211.99
  4. Step 4: Simplify right side
    759.82x = 241,585.92
  5. Step 5: Solve for x
    x = 241,585.92/759.82
  6. Step 6: Final answer
    x = 317.95

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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.