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Finding the Fourth Proportional to 1,659.08, 2,289.48 and 902.84

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Solution

The fourth proportional to 1,659.08, 2,289.48 and 902.84 is: 1,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.08 : 2,289.48 = 902.84 : x
  2. Step 2: Convert to fraction form
    1,659.08/2,289.48 = 902.84/x
  3. Step 3: Cross multiply
    1,659.08x = 2,289.48 × 902.84
  4. Step 4: Simplify right side
    1,659.08x = 2,067,022.68
  5. Step 5: Solve for x
    x = 2,067,022.68/1,659.08
  6. Step 6: Final answer
    x = 1,245.89

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1.5x scale

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.