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Finding the Fourth Proportional to 789.06, 1,182.57 and 423.42

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Solution

The fourth proportional to 789.06, 1,182.57 and 423.42 is: 634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.06 : 1,182.57 = 423.42 : x
  2. Step 2: Convert to fraction form
    789.06/1,182.57 = 423.42/x
  3. Step 3: Cross multiply
    789.06x = 1,182.57 × 423.42
  4. Step 4: Simplify right side
    789.06x = 500,726.64
  5. Step 5: Solve for x
    x = 500,726.64/789.06
  6. Step 6: Final answer
    x = 634.58

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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.