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Finding the Fourth Proportional to 865.27, 1,193.84 and 511.19

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Solution

The fourth proportional to 865.27, 1,193.84 and 511.19 is: 705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.27 : 1,193.84 = 511.19 : x
  2. Step 2: Convert to fraction form
    865.27/1,193.84 = 511.19/x
  3. Step 3: Cross multiply
    865.27x = 1,193.84 × 511.19
  4. Step 4: Simplify right side
    865.27x = 610,283.65
  5. Step 5: Solve for x
    x = 610,283.65/865.27
  6. Step 6: Final answer
    x = 705.31

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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.