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Finding the Fourth Proportional to 1,206.36, 1,664.82 and 709.16

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Solution

The fourth proportional to 1,206.36, 1,664.82 and 709.16 is: 978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.36 : 1,664.82 = 709.16 : x
  2. Step 2: Convert to fraction form
    1,206.36/1,664.82 = 709.16/x
  3. Step 3: Cross multiply
    1,206.36x = 1,664.82 × 709.16
  4. Step 4: Simplify right side
    1,206.36x = 1,180,615.43
  5. Step 5: Solve for x
    x = 1,180,615.43/1,206.36
  6. Step 6: Final answer
    x = 978.66

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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.