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Finding the Fourth Proportional to 782.62, 1,173.88 and 295.63

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Solution

The fourth proportional to 782.62, 1,173.88 and 295.63 is: 443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.62 : 1,173.88 = 295.63 : x
  2. Step 2: Convert to fraction form
    782.62/1,173.88 = 295.63/x
  3. Step 3: Cross multiply
    782.62x = 1,173.88 × 295.63
  4. Step 4: Simplify right side
    782.62x = 347,034.14
  5. Step 5: Solve for x
    x = 347,034.14/782.62
  6. Step 6: Final answer
    x = 443.43

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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.