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Finding the Fourth Proportional to 859.94, 1,186.02 and 749.23

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Solution

The fourth proportional to 859.94, 1,186.02 and 749.23 is: 1,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.94 : 1,186.02 = 749.23 : x
  2. Step 2: Convert to fraction form
    859.94/1,186.02 = 749.23/x
  3. Step 3: Cross multiply
    859.94x = 1,186.02 × 749.23
  4. Step 4: Simplify right side
    859.94x = 888,601.76
  5. Step 5: Solve for x
    x = 888,601.76/859.94
  6. Step 6: Final answer
    x = 1,033.33

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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.