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Finding the Fourth Proportional to 766.07, 1,149.14 and 279.10

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Solution

The fourth proportional to 766.07, 1,149.14 and 279.10 is: 418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.07 : 1,149.14 = 279.10 : x
  2. Step 2: Convert to fraction form
    766.07/1,149.14 = 279.10/x
  3. Step 3: Cross multiply
    766.07x = 1,149.14 × 279.10
  4. Step 4: Simplify right side
    766.07x = 320,724.97
  5. Step 5: Solve for x
    x = 320,724.97/766.07
  6. Step 6: Final answer
    x = 418.66

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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.