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Finding the Fourth Proportional to 865.71, 1,194.93 and 617.58

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Solution

The fourth proportional to 865.71, 1,194.93 and 617.58 is: 852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.71 : 1,194.93 = 617.58 : x
  2. Step 2: Convert to fraction form
    865.71/1,194.93 = 617.58/x
  3. Step 3: Cross multiply
    865.71x = 1,194.93 × 617.58
  4. Step 4: Simplify right side
    865.71x = 737,964.87
  5. Step 5: Solve for x
    x = 737,964.87/865.71
  6. Step 6: Final answer
    x = 852.44

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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.