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Finding the Fourth Proportional to 792.53, 1,189.24 and 427.31

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Solution

The fourth proportional to 792.53, 1,189.24 and 427.31 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.53 : 1,189.24 = 427.31 : x
  2. Step 2: Convert to fraction form
    792.53/1,189.24 = 427.31/x
  3. Step 3: Cross multiply
    792.53x = 1,189.24 × 427.31
  4. Step 4: Simplify right side
    792.53x = 508,174.14
  5. Step 5: Solve for x
    x = 508,174.14/792.53
  6. Step 6: Final answer
    x = 641.20

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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.