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Finding the Fourth Proportional to 789.42, 1,184.03 and 419.10

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Solution

The fourth proportional to 789.42, 1,184.03 and 419.10 is: 628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.42 : 1,184.03 = 419.10 : x
  2. Step 2: Convert to fraction form
    789.42/1,184.03 = 419.10/x
  3. Step 3: Cross multiply
    789.42x = 1,184.03 × 419.10
  4. Step 4: Simplify right side
    789.42x = 496,226.97
  5. Step 5: Solve for x
    x = 496,226.97/789.42
  6. Step 6: Final answer
    x = 628.60

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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.