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Finding the Fourth Proportional to 789.23, 1,182.22 and 463.81

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Solution

The fourth proportional to 789.23, 1,182.22 and 463.81 is: 694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.23 : 1,182.22 = 463.81 : x
  2. Step 2: Convert to fraction form
    789.23/1,182.22 = 463.81/x
  3. Step 3: Cross multiply
    789.23x = 1,182.22 × 463.81
  4. Step 4: Simplify right side
    789.23x = 548,325.46
  5. Step 5: Solve for x
    x = 548,325.46/789.23
  6. Step 6: Final answer
    x = 694.76

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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.