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Finding the Fourth Proportional to 792.56, 1,189.02 and 360.02

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Solution

The fourth proportional to 792.56, 1,189.02 and 360.02 is: 540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.56 : 1,189.02 = 360.02 : x
  2. Step 2: Convert to fraction form
    792.56/1,189.02 = 360.02/x
  3. Step 3: Cross multiply
    792.56x = 1,189.02 × 360.02
  4. Step 4: Simplify right side
    792.56x = 428,070.98
  5. Step 5: Solve for x
    x = 428,070.98/792.56
  6. Step 6: Final answer
    x = 540.11

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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.