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Finding the Fourth Proportional to 950.84, 1,423.49 and 768.59

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Solution

The fourth proportional to 950.84, 1,423.49 and 768.59 is: 1,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.84 : 1,423.49 = 768.59 : x
  2. Step 2: Convert to fraction form
    950.84/1,423.49 = 768.59/x
  3. Step 3: Cross multiply
    950.84x = 1,423.49 × 768.59
  4. Step 4: Simplify right side
    950.84x = 1,094,069.22
  5. Step 5: Solve for x
    x = 1,094,069.22/950.84
  6. Step 6: Final answer
    x = 1,150.64

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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.