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Finding the Fourth Proportional to 789.26, 1,089.35 and 490.56

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Solution

The fourth proportional to 789.26, 1,089.35 and 490.56 is: 677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.26 : 1,089.35 = 490.56 : x
  2. Step 2: Convert to fraction form
    789.26/1,089.35 = 490.56/x
  3. Step 3: Cross multiply
    789.26x = 1,089.35 × 490.56
  4. Step 4: Simplify right side
    789.26x = 534,389.08
  5. Step 5: Solve for x
    x = 534,389.08/789.26
  6. Step 6: Final answer
    x = 677.08

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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.