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Finding the Fourth Proportional to 1,180.84, 1,767.64 and 769.08

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Solution

The fourth proportional to 1,180.84, 1,767.64 and 769.08 is: 1,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.84 : 1,767.64 = 769.08 : x
  2. Step 2: Convert to fraction form
    1,180.84/1,767.64 = 769.08/x
  3. Step 3: Cross multiply
    1,180.84x = 1,767.64 × 769.08
  4. Step 4: Simplify right side
    1,180.84x = 1,359,456.57
  5. Step 5: Solve for x
    x = 1,359,456.57/1,180.84
  6. Step 6: Final answer
    x = 1,151.26

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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.