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Finding the Fourth Proportional to 785.31, 1,177.17 and 298.23

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Solution

The fourth proportional to 785.31, 1,177.17 and 298.23 is: 447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.31 : 1,177.17 = 298.23 : x
  2. Step 2: Convert to fraction form
    785.31/1,177.17 = 298.23/x
  3. Step 3: Cross multiply
    785.31x = 1,177.17 × 298.23
  4. Step 4: Simplify right side
    785.31x = 351,067.41
  5. Step 5: Solve for x
    x = 351,067.41/785.31
  6. Step 6: Final answer
    x = 447.04

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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.