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Finding the Fourth Proportional to 782.47, 1,172.88 and 371.30

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Solution

The fourth proportional to 782.47, 1,172.88 and 371.30 is: 556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.47 : 1,172.88 = 371.30 : x
  2. Step 2: Convert to fraction form
    782.47/1,172.88 = 371.30/x
  3. Step 3: Cross multiply
    782.47x = 1,172.88 × 371.30
  4. Step 4: Simplify right side
    782.47x = 435,493.28
  5. Step 5: Solve for x
    x = 435,493.28/782.47
  6. Step 6: Final answer
    x = 556.56

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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.