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Finding the Fourth Proportional to 782.00, 1,171.78 and 294.78

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Solution

The fourth proportional to 782.00, 1,171.78 and 294.78 is: 441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.00 : 1,171.78 = 294.78 : x
  2. Step 2: Convert to fraction form
    782.00/1,171.78 = 294.78/x
  3. Step 3: Cross multiply
    782.00x = 1,171.78 × 294.78
  4. Step 4: Simplify right side
    782.00x = 345,420.24
  5. Step 5: Solve for x
    x = 345,420.24/782.00
  6. Step 6: Final answer
    x = 441.72

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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.