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Finding the Fourth Proportional to 1,206.14, 1,664.46 and 654.14

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Solution

The fourth proportional to 1,206.14, 1,664.46 and 654.14 is: 902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.14 : 1,664.46 = 654.14 : x
  2. Step 2: Convert to fraction form
    1,206.14/1,664.46 = 654.14/x
  3. Step 3: Cross multiply
    1,206.14x = 1,664.46 × 654.14
  4. Step 4: Simplify right side
    1,206.14x = 1,088,789.86
  5. Step 5: Solve for x
    x = 1,088,789.86/1,206.14
  6. Step 6: Final answer
    x = 902.71

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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.