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Finding the Fourth Proportional to 784.88, 1,083.84 and 490.22

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Solution

The fourth proportional to 784.88, 1,083.84 and 490.22 is: 676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.88 : 1,083.84 = 490.22 : x
  2. Step 2: Convert to fraction form
    784.88/1,083.84 = 490.22/x
  3. Step 3: Cross multiply
    784.88x = 1,083.84 × 490.22
  4. Step 4: Simplify right side
    784.88x = 531,320.04
  5. Step 5: Solve for x
    x = 531,320.04/784.88
  6. Step 6: Final answer
    x = 676.94

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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.