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Finding the Fourth Proportional to 955.26, 1,319.40 and 833.04

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Solution

The fourth proportional to 955.26, 1,319.40 and 833.04 is: 1,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.26 : 1,319.40 = 833.04 : x
  2. Step 2: Convert to fraction form
    955.26/1,319.40 = 833.04/x
  3. Step 3: Cross multiply
    955.26x = 1,319.40 × 833.04
  4. Step 4: Simplify right side
    955.26x = 1,099,112.98
  5. Step 5: Solve for x
    x = 1,099,112.98/955.26
  6. Step 6: Final answer
    x = 1,150.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.