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Finding the Fourth Proportional to 773.90, 1,160.63 and 218.57

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Solution

The fourth proportional to 773.90, 1,160.63 and 218.57 is: 327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.90 : 1,160.63 = 218.57 : x
  2. Step 2: Convert to fraction form
    773.90/1,160.63 = 218.57/x
  3. Step 3: Cross multiply
    773.90x = 1,160.63 × 218.57
  4. Step 4: Simplify right side
    773.90x = 253,675.45
  5. Step 5: Solve for x
    x = 253,675.45/773.90
  6. Step 6: Final answer
    x = 327.79

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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.