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Finding the Fourth Proportional to 792.04, 1,183.56 and 593.10

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Solution

The fourth proportional to 792.04, 1,183.56 and 593.10 is: 886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.04 : 1,183.56 = 593.10 : x
  2. Step 2: Convert to fraction form
    792.04/1,183.56 = 593.10/x
  3. Step 3: Cross multiply
    792.04x = 1,183.56 × 593.10
  4. Step 4: Simplify right side
    792.04x = 701,969.44
  5. Step 5: Solve for x
    x = 701,969.44/792.04
  6. Step 6: Final answer
    x = 886.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.