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Finding the Fourth Proportional to 1,206.26, 1,664.97 and 709.06

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Solution

The fourth proportional to 1,206.26, 1,664.97 and 709.06 is: 978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.26 : 1,664.97 = 709.06 : x
  2. Step 2: Convert to fraction form
    1,206.26/1,664.97 = 709.06/x
  3. Step 3: Cross multiply
    1,206.26x = 1,664.97 × 709.06
  4. Step 4: Simplify right side
    1,206.26x = 1,180,560.08
  5. Step 5: Solve for x
    x = 1,180,560.08/1,206.26
  6. Step 6: Final answer
    x = 978.69

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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.