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Finding the Fourth Proportional to 766.68, 1,149.36 and 279.63

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Solution

The fourth proportional to 766.68, 1,149.36 and 279.63 is: 419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.68 : 1,149.36 = 279.63 : x
  2. Step 2: Convert to fraction form
    766.68/1,149.36 = 279.63/x
  3. Step 3: Cross multiply
    766.68x = 1,149.36 × 279.63
  4. Step 4: Simplify right side
    766.68x = 321,395.54
  5. Step 5: Solve for x
    x = 321,395.54/766.68
  6. Step 6: Final answer
    x = 419.20

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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.