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Finding the Fourth Proportional to 755.51, 1,134.03 and 523.60

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Solution

The fourth proportional to 755.51, 1,134.03 and 523.60 is: 785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.51 : 1,134.03 = 523.60 : x
  2. Step 2: Convert to fraction form
    755.51/1,134.03 = 523.60/x
  3. Step 3: Cross multiply
    755.51x = 1,134.03 × 523.60
  4. Step 4: Simplify right side
    755.51x = 593,778.11
  5. Step 5: Solve for x
    x = 593,778.11/755.51
  6. Step 6: Final answer
    x = 785.93

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Why These Related Problems?

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