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Finding the Fourth Proportional to 865.28, 1,193.81 and 511.22

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Solution

The fourth proportional to 865.28, 1,193.81 and 511.22 is: 705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.28 : 1,193.81 = 511.22 : x
  2. Step 2: Convert to fraction form
    865.28/1,193.81 = 511.22/x
  3. Step 3: Cross multiply
    865.28x = 1,193.81 × 511.22
  4. Step 4: Simplify right side
    865.28x = 610,291.02
  5. Step 5: Solve for x
    x = 610,291.02/865.28
  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.