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Finding the Fourth Proportional to 789.68, 1,184.46 and 442.79

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Solution

The fourth proportional to 789.68, 1,184.46 and 442.79 is: 664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.68 : 1,184.46 = 442.79 : x
  2. Step 2: Convert to fraction form
    789.68/1,184.46 = 442.79/x
  3. Step 3: Cross multiply
    789.68x = 1,184.46 × 442.79
  4. Step 4: Simplify right side
    789.68x = 524,467.04
  5. Step 5: Solve for x
    x = 524,467.04/789.68
  6. Step 6: Final answer
    x = 664.15

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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.