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Finding the Fourth Proportional to 1,206.38, 1,664.52 and 709.04

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Solution

The fourth proportional to 1,206.38, 1,664.52 and 709.04 is: 978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.38 : 1,664.52 = 709.04 : x
  2. Step 2: Convert to fraction form
    1,206.38/1,664.52 = 709.04/x
  3. Step 3: Cross multiply
    1,206.38x = 1,664.52 × 709.04
  4. Step 4: Simplify right side
    1,206.38x = 1,180,202.94
  5. Step 5: Solve for x
    x = 1,180,202.94/1,206.38
  6. Step 6: Final answer
    x = 978.31

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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.