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Finding the Fourth Proportional to 766.78, 1,150.44 and 279.86

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Solution

The fourth proportional to 766.78, 1,150.44 and 279.86 is: 419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.78 : 1,150.44 = 279.86 : x
  2. Step 2: Convert to fraction form
    766.78/1,150.44 = 279.86/x
  3. Step 3: Cross multiply
    766.78x = 1,150.44 × 279.86
  4. Step 4: Simplify right side
    766.78x = 321,962.14
  5. Step 5: Solve for x
    x = 321,962.14/766.78
  6. Step 6: Final answer
    x = 419.89

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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.