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Finding the Fourth Proportional to 772, 1,158.12 and 259.12

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Solution

The fourth proportional to 772, 1,158.12 and 259.12 is: 388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    772 : 1,158.12 = 259.12 : x
  2. Step 2: Convert to fraction form
    772/1,158.12 = 259.12/x
  3. Step 3: Cross multiply
    772x = 1,158.12 × 259.12
  4. Step 4: Simplify right side
    772x = 300,092.05
  5. Step 5: Solve for x
    x = 300,092.05/772
  6. Step 6: Final answer
    x = 388.72

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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.