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Finding the Fourth Proportional to 755.13, 1,132.35 and 344.16

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Solution

The fourth proportional to 755.13, 1,132.35 and 344.16 is: 516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.13 : 1,132.35 = 344.16 : x
  2. Step 2: Convert to fraction form
    755.13/1,132.35 = 344.16/x
  3. Step 3: Cross multiply
    755.13x = 1,132.35 × 344.16
  4. Step 4: Simplify right side
    755.13x = 389,709.58
  5. Step 5: Solve for x
    x = 389,709.58/755.13
  6. Step 6: Final answer
    x = 516.08

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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.