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Finding the Fourth Proportional to 1,216.50, 1,678.17 and 768.17

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Solution

The fourth proportional to 1,216.50, 1,678.17 and 768.17 is: 1,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.50 : 1,678.17 = 768.17 : x
  2. Step 2: Convert to fraction form
    1,216.50/1,678.17 = 768.17/x
  3. Step 3: Cross multiply
    1,216.50x = 1,678.17 × 768.17
  4. Step 4: Simplify right side
    1,216.50x = 1,289,119.85
  5. Step 5: Solve for x
    x = 1,289,119.85/1,216.50
  6. Step 6: Final answer
    x = 1,059.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.