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Finding the Fourth Proportional to 782.00, 1,173.00 and 234.19

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Solution

The fourth proportional to 782.00, 1,173.00 and 234.19 is: 351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.00 : 1,173.00 = 234.19 : x
  2. Step 2: Convert to fraction form
    782.00/1,173.00 = 234.19/x
  3. Step 3: Cross multiply
    782.00x = 1,173.00 × 234.19
  4. Step 4: Simplify right side
    782.00x = 274,705.90
  5. Step 5: Solve for x
    x = 274,705.90/782.00
  6. Step 6: Final answer
    x = 351.28

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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.