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Finding the Fourth Proportional to 784.92, 1,084.08 and 490.44

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Solution

The fourth proportional to 784.92, 1,084.08 and 490.44 is: 677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,084.08 = 490.44 : x
  2. Step 2: Convert to fraction form
    784.92/1,084.08 = 490.44/x
  3. Step 3: Cross multiply
    784.92x = 1,084.08 × 490.44
  4. Step 4: Simplify right side
    784.92x = 531,676.20
  5. Step 5: Solve for x
    x = 531,676.20/784.92
  6. Step 6: Final answer
    x = 677.36

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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.