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Finding the Fourth Proportional to 856, 1,289.17 and 759.70

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Solution

The fourth proportional to 856, 1,289.17 and 759.70 is: 1,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 1,289.17 = 759.70 : x
  2. Step 2: Convert to fraction form
    856/1,289.17 = 759.70/x
  3. Step 3: Cross multiply
    856x = 1,289.17 × 759.70
  4. Step 4: Simplify right side
    856x = 979,382.45
  5. Step 5: Solve for x
    x = 979,382.45/856
  6. Step 6: Final answer
    x = 1,144.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.