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Finding the Fourth Proportional to 1,568.58, 2,164.65 and 905.43

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Solution

The fourth proportional to 1,568.58, 2,164.65 and 905.43 is: 1,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.58 : 2,164.65 = 905.43 : x
  2. Step 2: Convert to fraction form
    1,568.58/2,164.65 = 905.43/x
  3. Step 3: Cross multiply
    1,568.58x = 2,164.65 × 905.43
  4. Step 4: Simplify right side
    1,568.58x = 1,959,939.05
  5. Step 5: Solve for x
    x = 1,959,939.05/1,568.58
  6. Step 6: Final answer
    x = 1,249.50

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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.