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Finding the Fourth Proportional to 759.74, 1,139.01 and 412.85

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Solution

The fourth proportional to 759.74, 1,139.01 and 412.85 is: 618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.74 : 1,139.01 = 412.85 : x
  2. Step 2: Convert to fraction form
    759.74/1,139.01 = 412.85/x
  3. Step 3: Cross multiply
    759.74x = 1,139.01 × 412.85
  4. Step 4: Simplify right side
    759.74x = 470,234.58
  5. Step 5: Solve for x
    x = 470,234.58/759.74
  6. Step 6: Final answer
    x = 618.95

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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.