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Finding the Fourth Proportional to 859.96, 1,186.31 and 544.70

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Solution

The fourth proportional to 859.96, 1,186.31 and 544.70 is: 751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.96 : 1,186.31 = 544.70 : x
  2. Step 2: Convert to fraction form
    859.96/1,186.31 = 544.70/x
  3. Step 3: Cross multiply
    859.96x = 1,186.31 × 544.70
  4. Step 4: Simplify right side
    859.96x = 646,183.06
  5. Step 5: Solve for x
    x = 646,183.06/859.96
  6. Step 6: Final answer
    x = 751.41

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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.