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Finding the Fourth Proportional to 774.88, 1,161.60 and 427.84

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Solution

The fourth proportional to 774.88, 1,161.60 and 427.84 is: 641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.88 : 1,161.60 = 427.84 : x
  2. Step 2: Convert to fraction form
    774.88/1,161.60 = 427.84/x
  3. Step 3: Cross multiply
    774.88x = 1,161.60 × 427.84
  4. Step 4: Simplify right side
    774.88x = 496,978.94
  5. Step 5: Solve for x
    x = 496,978.94/774.88
  6. Step 6: Final answer
    x = 641.36

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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.