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Finding the Fourth Proportional to 792.06, 1,189.29 and 427.56

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Solution

The fourth proportional to 792.06, 1,189.29 and 427.56 is: 641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.06 : 1,189.29 = 427.56 : x
  2. Step 2: Convert to fraction form
    792.06/1,189.29 = 427.56/x
  3. Step 3: Cross multiply
    792.06x = 1,189.29 × 427.56
  4. Step 4: Simplify right side
    792.06x = 508,492.83
  5. Step 5: Solve for x
    x = 508,492.83/792.06
  6. Step 6: Final answer
    x = 641.99

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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.