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Finding the Fourth Proportional to 769, 1,153.61 and 281.89

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Solution

The fourth proportional to 769, 1,153.61 and 281.89 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    769 : 1,153.61 = 281.89 : x
  2. Step 2: Convert to fraction form
    769/1,153.61 = 281.89/x
  3. Step 3: Cross multiply
    769x = 1,153.61 × 281.89
  4. Step 4: Simplify right side
    769x = 325,191.12
  5. Step 5: Solve for x
    x = 325,191.12/769
  6. Step 6: Final answer
    x = 422.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.