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Finding the Fourth Proportional to 779.85, 1,169.57 and 231.90

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Solution

The fourth proportional to 779.85, 1,169.57 and 231.90 is: 347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.85 : 1,169.57 = 231.90 : x
  2. Step 2: Convert to fraction form
    779.85/1,169.57 = 231.90/x
  3. Step 3: Cross multiply
    779.85x = 1,169.57 × 231.90
  4. Step 4: Simplify right side
    779.85x = 271,223.28
  5. Step 5: Solve for x
    x = 271,223.28/779.85
  6. Step 6: Final answer
    x = 347.79

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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.