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Finding the Fourth Proportional to 865.72, 1,193.54 and 689.28

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Solution

The fourth proportional to 865.72, 1,193.54 and 689.28 is: 950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.72 : 1,193.54 = 689.28 : x
  2. Step 2: Convert to fraction form
    865.72/1,193.54 = 689.28/x
  3. Step 3: Cross multiply
    865.72x = 1,193.54 × 689.28
  4. Step 4: Simplify right side
    865.72x = 822,675.33
  5. Step 5: Solve for x
    x = 822,675.33/865.72
  6. Step 6: Final answer
    x = 950.28

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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.