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Finding the Fourth Proportional to 792.24, 1,188.84 and 359.76

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Solution

The fourth proportional to 792.24, 1,188.84 and 359.76 is: 539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.24 : 1,188.84 = 359.76 : x
  2. Step 2: Convert to fraction form
    792.24/1,188.84 = 359.76/x
  3. Step 3: Cross multiply
    792.24x = 1,188.84 × 359.76
  4. Step 4: Simplify right side
    792.24x = 427,697.08
  5. Step 5: Solve for x
    x = 427,697.08/792.24
  6. Step 6: Final answer
    x = 539.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.