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Finding the Fourth Proportional to 884.24, 1,326.38 and 755.13

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Solution

The fourth proportional to 884.24, 1,326.38 and 755.13 is: 1,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.24 : 1,326.38 = 755.13 : x
  2. Step 2: Convert to fraction form
    884.24/1,326.38 = 755.13/x
  3. Step 3: Cross multiply
    884.24x = 1,326.38 × 755.13
  4. Step 4: Simplify right side
    884.24x = 1,001,585.55
  5. Step 5: Solve for x
    x = 1,001,585.55/884.24
  6. Step 6: Final answer
    x = 1,132.71

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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.