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Finding the Fourth Proportional to 792.59, 1,188.68 and 359.64

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Solution

The fourth proportional to 792.59, 1,188.68 and 359.64 is: 539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.59 : 1,188.68 = 359.64 : x
  2. Step 2: Convert to fraction form
    792.59/1,188.68 = 359.64/x
  3. Step 3: Cross multiply
    792.59x = 1,188.68 × 359.64
  4. Step 4: Simplify right side
    792.59x = 427,495.08
  5. Step 5: Solve for x
    x = 427,495.08/792.59
  6. Step 6: Final answer
    x = 539.37

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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.