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Finding the Fourth Proportional to 755.03, 1,132.13 and 234.80

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Solution

The fourth proportional to 755.03, 1,132.13 and 234.80 is: 352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.03 : 1,132.13 = 234.80 : x
  2. Step 2: Convert to fraction form
    755.03/1,132.13 = 234.80/x
  3. Step 3: Cross multiply
    755.03x = 1,132.13 × 234.80
  4. Step 4: Simplify right side
    755.03x = 265,827.54
  5. Step 5: Solve for x
    x = 265,827.54/755.03
  6. Step 6: Final answer
    x = 352.08

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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.