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Finding the Fourth Proportional to 782.56, 1,080.44 and 502.92

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Solution

The fourth proportional to 782.56, 1,080.44 and 502.92 is: 694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.56 : 1,080.44 = 502.92 : x
  2. Step 2: Convert to fraction form
    782.56/1,080.44 = 502.92/x
  3. Step 3: Cross multiply
    782.56x = 1,080.44 × 502.92
  4. Step 4: Simplify right side
    782.56x = 543,374.88
  5. Step 5: Solve for x
    x = 543,374.88/782.56
  6. Step 6: Final answer
    x = 694.36

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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.