Home / 1,206.17-1,664.76-708.97

Finding the Fourth Proportional to 1,206.17, 1,664.76 and 708.97

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Solution

The fourth proportional to 1,206.17, 1,664.76 and 708.97 is: 978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.17 : 1,664.76 = 708.97 : x
  2. Step 2: Convert to fraction form
    1,206.17/1,664.76 = 708.97/x
  3. Step 3: Cross multiply
    1,206.17x = 1,664.76 × 708.97
  4. Step 4: Simplify right side
    1,206.17x = 1,180,264.90
  5. Step 5: Solve for x
    x = 1,180,264.90/1,206.17
  6. Step 6: Final answer
    x = 978.52

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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.