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Finding the Fourth Proportional to 1,384.14, 2,074.84 and 768.14

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Solution

The fourth proportional to 1,384.14, 2,074.84 and 768.14 is: 1,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.14 : 2,074.84 = 768.14 : x
  2. Step 2: Convert to fraction form
    1,384.14/2,074.84 = 768.14/x
  3. Step 3: Cross multiply
    1,384.14x = 2,074.84 × 768.14
  4. Step 4: Simplify right side
    1,384.14x = 1,593,767.60
  5. Step 5: Solve for x
    x = 1,593,767.60/1,384.14
  6. Step 6: Final answer
    x = 1,151.45

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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.