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Finding the Fourth Proportional to 1,294.57, 1,786.44 and 705.09

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Solution

The fourth proportional to 1,294.57, 1,786.44 and 705.09 is: 972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.57 : 1,786.44 = 705.09 : x
  2. Step 2: Convert to fraction form
    1,294.57/1,786.44 = 705.09/x
  3. Step 3: Cross multiply
    1,294.57x = 1,786.44 × 705.09
  4. Step 4: Simplify right side
    1,294.57x = 1,259,600.98
  5. Step 5: Solve for x
    x = 1,259,600.98/1,294.57
  6. Step 6: Final answer
    x = 972.99

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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.