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Finding the Fourth Proportional to 776.39, 1,163.36 and 594.14

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Solution

The fourth proportional to 776.39, 1,163.36 and 594.14 is: 890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.39 : 1,163.36 = 594.14 : x
  2. Step 2: Convert to fraction form
    776.39/1,163.36 = 594.14/x
  3. Step 3: Cross multiply
    776.39x = 1,163.36 × 594.14
  4. Step 4: Simplify right side
    776.39x = 691,194.38
  5. Step 5: Solve for x
    x = 691,194.38/776.39
  6. Step 6: Final answer
    x = 890.27

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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.