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Finding the Fourth Proportional to 789.85, 1,090.23 and 458.43

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Solution

The fourth proportional to 789.85, 1,090.23 and 458.43 is: 632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.85 : 1,090.23 = 458.43 : x
  2. Step 2: Convert to fraction form
    789.85/1,090.23 = 458.43/x
  3. Step 3: Cross multiply
    789.85x = 1,090.23 × 458.43
  4. Step 4: Simplify right side
    789.85x = 499,794.14
  5. Step 5: Solve for x
    x = 499,794.14/789.85
  6. Step 6: Final answer
    x = 632.77

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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.