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Finding the Fourth Proportional to 789.48, 1,089.94 and 540.76

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Solution

The fourth proportional to 789.48, 1,089.94 and 540.76 is: 746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.48 : 1,089.94 = 540.76 : x
  2. Step 2: Convert to fraction form
    789.48/1,089.94 = 540.76/x
  3. Step 3: Cross multiply
    789.48x = 1,089.94 × 540.76
  4. Step 4: Simplify right side
    789.48x = 589,395.95
  5. Step 5: Solve for x
    x = 589,395.95/789.48
  6. Step 6: Final answer
    x = 746.56

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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.