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Finding the Fourth Proportional to 782.03, 1,171.98 and 294.82

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Solution

The fourth proportional to 782.03, 1,171.98 and 294.82 is: 441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.03 : 1,171.98 = 294.82 : x
  2. Step 2: Convert to fraction form
    782.03/1,171.98 = 294.82/x
  3. Step 3: Cross multiply
    782.03x = 1,171.98 × 294.82
  4. Step 4: Simplify right side
    782.03x = 345,520.21
  5. Step 5: Solve for x
    x = 345,520.21/782.03
  6. Step 6: Final answer
    x = 441.82

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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.