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Finding the Fourth Proportional to 844.31, 1,264.72 and 782.80

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Solution

The fourth proportional to 844.31, 1,264.72 and 782.80 is: 1,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.31 : 1,264.72 = 782.80 : x
  2. Step 2: Convert to fraction form
    844.31/1,264.72 = 782.80/x
  3. Step 3: Cross multiply
    844.31x = 1,264.72 × 782.80
  4. Step 4: Simplify right side
    844.31x = 990,022.82
  5. Step 5: Solve for x
    x = 990,022.82/844.31
  6. Step 6: Final answer
    x = 1,172.58

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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.