Home / 1,294.35-1,786.20-704.90

Finding the Fourth Proportional to 1,294.35, 1,786.20 and 704.90

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Solution

The fourth proportional to 1,294.35, 1,786.20 and 704.90 is: 972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.35 : 1,786.20 = 704.90 : x
  2. Step 2: Convert to fraction form
    1,294.35/1,786.20 = 704.90/x
  3. Step 3: Cross multiply
    1,294.35x = 1,786.20 × 704.90
  4. Step 4: Simplify right side
    1,294.35x = 1,259,083.45
  5. Step 5: Solve for x
    x = 1,259,083.45/1,294.35
  6. Step 6: Final answer
    x = 972.75

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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.