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Finding the Fourth Proportional to 789.98, 1,090.23 and 523.96

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Solution

The fourth proportional to 789.98, 1,090.23 and 523.96 is: 723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.98 : 1,090.23 = 523.96 : x
  2. Step 2: Convert to fraction form
    789.98/1,090.23 = 523.96/x
  3. Step 3: Cross multiply
    789.98x = 1,090.23 × 523.96
  4. Step 4: Simplify right side
    789.98x = 571,236.91
  5. Step 5: Solve for x
    x = 571,236.91/789.98
  6. Step 6: Final answer
    x = 723.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.