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Finding the Fourth Proportional to 789.37, 1,184.64 and 546.19

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Solution

The fourth proportional to 789.37, 1,184.64 and 546.19 is: 819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.37 : 1,184.64 = 546.19 : x
  2. Step 2: Convert to fraction form
    789.37/1,184.64 = 546.19/x
  3. Step 3: Cross multiply
    789.37x = 1,184.64 × 546.19
  4. Step 4: Simplify right side
    789.37x = 647,038.52
  5. Step 5: Solve for x
    x = 647,038.52/789.37
  6. Step 6: Final answer
    x = 819.69

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Why These Related Problems?

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