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Finding the Fourth Proportional to 769.84, 1,153.24 and 460.76

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Solution

The fourth proportional to 769.84, 1,153.24 and 460.76 is: 690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.84 : 1,153.24 = 460.76 : x
  2. Step 2: Convert to fraction form
    769.84/1,153.24 = 460.76/x
  3. Step 3: Cross multiply
    769.84x = 1,153.24 × 460.76
  4. Step 4: Simplify right side
    769.84x = 531,359.94
  5. Step 5: Solve for x
    x = 531,359.94/769.84
  6. Step 6: Final answer
    x = 690.22

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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.