Home / 1,206.30-1,664.66-708.96

Finding the Fourth Proportional to 1,206.30, 1,664.66 and 708.96

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Solution

The fourth proportional to 1,206.30, 1,664.66 and 708.96 is: 978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.30 : 1,664.66 = 708.96 : x
  2. Step 2: Convert to fraction form
    1,206.30/1,664.66 = 708.96/x
  3. Step 3: Cross multiply
    1,206.30x = 1,664.66 × 708.96
  4. Step 4: Simplify right side
    1,206.30x = 1,180,177.35
  5. Step 5: Solve for x
    x = 1,180,177.35/1,206.30
  6. Step 6: Final answer
    x = 978.34

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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.