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Finding the Fourth Proportional to 1,272.84, 1,910.34 and 779.82

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Solution

The fourth proportional to 1,272.84, 1,910.34 and 779.82 is: 1,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.84 : 1,910.34 = 779.82 : x
  2. Step 2: Convert to fraction form
    1,272.84/1,910.34 = 779.82/x
  3. Step 3: Cross multiply
    1,272.84x = 1,910.34 × 779.82
  4. Step 4: Simplify right side
    1,272.84x = 1,489,721.34
  5. Step 5: Solve for x
    x = 1,489,721.34/1,272.84
  6. Step 6: Final answer
    x = 1,170.39

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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.