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Finding the Fourth Proportional to 865.67, 1,194.42 and 511.64

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Solution

The fourth proportional to 865.67, 1,194.42 and 511.64 is: 705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.67 : 1,194.42 = 511.64 : x
  2. Step 2: Convert to fraction form
    865.67/1,194.42 = 511.64/x
  3. Step 3: Cross multiply
    865.67x = 1,194.42 × 511.64
  4. Step 4: Simplify right side
    865.67x = 611,107.08
  5. Step 5: Solve for x
    x = 611,107.08/865.67
  6. Step 6: Final answer
    x = 705.94

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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.