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Finding the Fourth Proportional to 789.08, 1,184.16 and 545.84

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Solution

The fourth proportional to 789.08, 1,184.16 and 545.84 is: 819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.08 : 1,184.16 = 545.84 : x
  2. Step 2: Convert to fraction form
    789.08/1,184.16 = 545.84/x
  3. Step 3: Cross multiply
    789.08x = 1,184.16 × 545.84
  4. Step 4: Simplify right side
    789.08x = 646,361.89
  5. Step 5: Solve for x
    x = 646,361.89/789.08
  6. Step 6: Final answer
    x = 819.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.