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Finding the Fourth Proportional to 782.31, 1,081.95 and 699.27

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Solution

The fourth proportional to 782.31, 1,081.95 and 699.27 is: 967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.31 : 1,081.95 = 699.27 : x
  2. Step 2: Convert to fraction form
    782.31/1,081.95 = 699.27/x
  3. Step 3: Cross multiply
    782.31x = 1,081.95 × 699.27
  4. Step 4: Simplify right side
    782.31x = 756,575.18
  5. Step 5: Solve for x
    x = 756,575.18/782.31
  6. Step 6: Final answer
    x = 967.10

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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.