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Finding the Fourth Proportional to 1,294.78, 1,786.68 and 735.27

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Solution

The fourth proportional to 1,294.78, 1,786.68 and 735.27 is: 1,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.78 : 1,786.68 = 735.27 : x
  2. Step 2: Convert to fraction form
    1,294.78/1,786.68 = 735.27/x
  3. Step 3: Cross multiply
    1,294.78x = 1,786.68 × 735.27
  4. Step 4: Simplify right side
    1,294.78x = 1,313,701.66
  5. Step 5: Solve for x
    x = 1,313,701.66/1,294.78
  6. Step 6: Final answer
    x = 1,014.61

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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.