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Finding the Fourth Proportional to 782.47, 1,173.73 and 197.47

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Solution

The fourth proportional to 782.47, 1,173.73 and 197.47 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.47 : 1,173.73 = 197.47 : x
  2. Step 2: Convert to fraction form
    782.47/1,173.73 = 197.47/x
  3. Step 3: Cross multiply
    782.47x = 1,173.73 × 197.47
  4. Step 4: Simplify right side
    782.47x = 231,776.46
  5. Step 5: Solve for x
    x = 231,776.46/782.47
  6. Step 6: Final answer
    x = 296.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.