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Finding the Fourth Proportional to 782.58, 1,079.82 and 467.97

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Solution

The fourth proportional to 782.58, 1,079.82 and 467.97 is: 645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.58 : 1,079.82 = 467.97 : x
  2. Step 2: Convert to fraction form
    782.58/1,079.82 = 467.97/x
  3. Step 3: Cross multiply
    782.58x = 1,079.82 × 467.97
  4. Step 4: Simplify right side
    782.58x = 505,316.80
  5. Step 5: Solve for x
    x = 505,316.80/782.58
  6. Step 6: Final answer
    x = 645.71

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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.