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Finding the Fourth Proportional to 755.34, 1,132.80 and 293.03

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Solution

The fourth proportional to 755.34, 1,132.80 and 293.03 is: 439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.34 : 1,132.80 = 293.03 : x
  2. Step 2: Convert to fraction form
    755.34/1,132.80 = 293.03/x
  3. Step 3: Cross multiply
    755.34x = 1,132.80 × 293.03
  4. Step 4: Simplify right side
    755.34x = 331,944.38
  5. Step 5: Solve for x
    x = 331,944.38/755.34
  6. Step 6: Final answer
    x = 439.46

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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.