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Finding the Fourth Proportional to 774.85, 1,161.69 and 466.63

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Solution

The fourth proportional to 774.85, 1,161.69 and 466.63 is: 699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.85 : 1,161.69 = 466.63 : x
  2. Step 2: Convert to fraction form
    774.85/1,161.69 = 466.63/x
  3. Step 3: Cross multiply
    774.85x = 1,161.69 × 466.63
  4. Step 4: Simplify right side
    774.85x = 542,076.50
  5. Step 5: Solve for x
    x = 542,076.50/774.85
  6. Step 6: Final answer
    x = 699.59

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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.