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Finding the Fourth Proportional to 859.20, 1,287.42 and 836.42

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Solution

The fourth proportional to 859.20, 1,287.42 and 836.42 is: 1,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.20 : 1,287.42 = 836.42 : x
  2. Step 2: Convert to fraction form
    859.20/1,287.42 = 836.42/x
  3. Step 3: Cross multiply
    859.20x = 1,287.42 × 836.42
  4. Step 4: Simplify right side
    859.20x = 1,076,817.40
  5. Step 5: Solve for x
    x = 1,076,817.40/859.20
  6. Step 6: Final answer
    x = 1,253.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.