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Finding the Fourth Proportional to 1,179.84, 1,769.49 and 769.17

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Solution

The fourth proportional to 1,179.84, 1,769.49 and 769.17 is: 1,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.84 : 1,769.49 = 769.17 : x
  2. Step 2: Convert to fraction form
    1,179.84/1,769.49 = 769.17/x
  3. Step 3: Cross multiply
    1,179.84x = 1,769.49 × 769.17
  4. Step 4: Simplify right side
    1,179.84x = 1,361,038.62
  5. Step 5: Solve for x
    x = 1,361,038.62/1,179.84
  6. Step 6: Final answer
    x = 1,153.58

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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.