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Finding the Fourth Proportional to 782.10, 1,173.17 and 234.30

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Solution

The fourth proportional to 782.10, 1,173.17 and 234.30 is: 351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.10 : 1,173.17 = 234.30 : x
  2. Step 2: Convert to fraction form
    782.10/1,173.17 = 234.30/x
  3. Step 3: Cross multiply
    782.10x = 1,173.17 × 234.30
  4. Step 4: Simplify right side
    782.10x = 274,873.73
  5. Step 5: Solve for x
    x = 274,873.73/782.10
  6. Step 6: Final answer
    x = 351.46

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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.