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Finding the Fourth Proportional to 768.36, 1,153.71 and 677.82

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Solution

The fourth proportional to 768.36, 1,153.71 and 677.82 is: 1,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.36 : 1,153.71 = 677.82 : x
  2. Step 2: Convert to fraction form
    768.36/1,153.71 = 677.82/x
  3. Step 3: Cross multiply
    768.36x = 1,153.71 × 677.82
  4. Step 4: Simplify right side
    768.36x = 782,007.71
  5. Step 5: Solve for x
    x = 782,007.71/768.36
  6. Step 6: Final answer
    x = 1,017.76

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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.