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Finding the Fourth Proportional to 1,568.60, 2,164.02 and 979.88

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Solution

The fourth proportional to 1,568.60, 2,164.02 and 979.88 is: 1,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.60 : 2,164.02 = 979.88 : x
  2. Step 2: Convert to fraction form
    1,568.60/2,164.02 = 979.88/x
  3. Step 3: Cross multiply
    1,568.60x = 2,164.02 × 979.88
  4. Step 4: Simplify right side
    1,568.60x = 2,120,479.92
  5. Step 5: Solve for x
    x = 2,120,479.92/1,568.60
  6. Step 6: Final answer
    x = 1,351.83

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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.