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Finding the Fourth Proportional to 782.97, 1,080.34 and 665.42

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Solution

The fourth proportional to 782.97, 1,080.34 and 665.42 is: 918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.97 : 1,080.34 = 665.42 : x
  2. Step 2: Convert to fraction form
    782.97/1,080.34 = 665.42/x
  3. Step 3: Cross multiply
    782.97x = 1,080.34 × 665.42
  4. Step 4: Simplify right side
    782.97x = 718,872.78
  5. Step 5: Solve for x
    x = 718,872.78/782.97
  6. Step 6: Final answer
    x = 918.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.