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Finding the Fourth Proportional to 932.46, 1,286.56 and 746.33

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Solution

The fourth proportional to 932.46, 1,286.56 and 746.33 is: 1,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.46 : 1,286.56 = 746.33 : x
  2. Step 2: Convert to fraction form
    932.46/1,286.56 = 746.33/x
  3. Step 3: Cross multiply
    932.46x = 1,286.56 × 746.33
  4. Step 4: Simplify right side
    932.46x = 960,194.59
  5. Step 5: Solve for x
    x = 960,194.59/932.46
  6. Step 6: Final answer
    x = 1,029.74

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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.