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Finding the Fourth Proportional to 782.09, 1,172.85 and 234.09

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Solution

The fourth proportional to 782.09, 1,172.85 and 234.09 is: 351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.09 : 1,172.85 = 234.09 : x
  2. Step 2: Convert to fraction form
    782.09/1,172.85 = 234.09/x
  3. Step 3: Cross multiply
    782.09x = 1,172.85 × 234.09
  4. Step 4: Simplify right side
    782.09x = 274,552.90
  5. Step 5: Solve for x
    x = 274,552.90/782.09
  6. Step 6: Final answer
    x = 351.05

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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.