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Finding the Fourth Proportional to 779.61, 1,169.57 and 231.80

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Solution

The fourth proportional to 779.61, 1,169.57 and 231.80 is: 347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.61 : 1,169.57 = 231.80 : x
  2. Step 2: Convert to fraction form
    779.61/1,169.57 = 231.80/x
  3. Step 3: Cross multiply
    779.61x = 1,169.57 × 231.80
  4. Step 4: Simplify right side
    779.61x = 271,099.32
  5. Step 5: Solve for x
    x = 271,099.32/779.61
  6. Step 6: Final answer
    x = 347.74

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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.