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Finding the Fourth Proportional to 755.09, 1,132.23 and 234.87

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Solution

The fourth proportional to 755.09, 1,132.23 and 234.87 is: 352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.09 : 1,132.23 = 234.87 : x
  2. Step 2: Convert to fraction form
    755.09/1,132.23 = 234.87/x
  3. Step 3: Cross multiply
    755.09x = 1,132.23 × 234.87
  4. Step 4: Simplify right side
    755.09x = 265,926.86
  5. Step 5: Solve for x
    x = 265,926.86/755.09
  6. Step 6: Final answer
    x = 352.18

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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.