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Finding the Fourth Proportional to 1,659.70, 2,290.20 and 960.94

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Solution

The fourth proportional to 1,659.70, 2,290.20 and 960.94 is: 1,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.70 : 2,290.20 = 960.94 : x
  2. Step 2: Convert to fraction form
    1,659.70/2,290.20 = 960.94/x
  3. Step 3: Cross multiply
    1,659.70x = 2,290.20 × 960.94
  4. Step 4: Simplify right side
    1,659.70x = 2,200,744.79
  5. Step 5: Solve for x
    x = 2,200,744.79/1,659.70
  6. Step 6: Final answer
    x = 1,325.99

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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.