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Finding the Fourth Proportional to 789.28, 1,089.12 and 556

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Solution

The fourth proportional to 789.28, 1,089.12 and 556 is: 767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.28 : 1,089.12 = 556 : x
  2. Step 2: Convert to fraction form
    789.28/1,089.12 = 556/x
  3. Step 3: Cross multiply
    789.28x = 1,089.12 × 556
  4. Step 4: Simplify right side
    789.28x = 605,550.72
  5. Step 5: Solve for x
    x = 605,550.72/789.28
  6. Step 6: Final answer
    x = 767.22

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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.