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Finding the Fourth Proportional to 879.54, 1,315.42 and 782.73

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Solution

The fourth proportional to 879.54, 1,315.42 and 782.73 is: 1,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.54 : 1,315.42 = 782.73 : x
  2. Step 2: Convert to fraction form
    879.54/1,315.42 = 782.73/x
  3. Step 3: Cross multiply
    879.54x = 1,315.42 × 782.73
  4. Step 4: Simplify right side
    879.54x = 1,029,618.70
  5. Step 5: Solve for x
    x = 1,029,618.70/879.54
  6. Step 6: Final answer
    x = 1,170.63

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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.