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Finding the Fourth Proportional to 755.86, 1,134.02 and 365.80

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Solution

The fourth proportional to 755.86, 1,134.02 and 365.80 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.86 : 1,134.02 = 365.80 : x
  2. Step 2: Convert to fraction form
    755.86/1,134.02 = 365.80/x
  3. Step 3: Cross multiply
    755.86x = 1,134.02 × 365.80
  4. Step 4: Simplify right side
    755.86x = 414,824.52
  5. Step 5: Solve for x
    x = 414,824.52/755.86
  6. Step 6: Final answer
    x = 548.81

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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.