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Finding the Fourth Proportional to 791.79, 1,186.53 and 560.56

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Solution

The fourth proportional to 791.79, 1,186.53 and 560.56 is: 840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.79 : 1,186.53 = 560.56 : x
  2. Step 2: Convert to fraction form
    791.79/1,186.53 = 560.56/x
  3. Step 3: Cross multiply
    791.79x = 1,186.53 × 560.56
  4. Step 4: Simplify right side
    791.79x = 665,121.26
  5. Step 5: Solve for x
    x = 665,121.26/791.79
  6. Step 6: Final answer
    x = 840.02

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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.